## Evolution Equations and Control Theory

 Short Title: Evol. Equ. Control Theory Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 2163-2480/e Online: https://www.aimsciences.org/journal/A0000-0000 Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2012).
 Documents Indexed: 415 Publications (since 2012) References Indexed: 331 Publications with 9,795 References.
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### Authors

 7 Kaltenbacher, Barbara 7 Mohan, Manil Thankamani 6 Nguyen Huy Tuan 6 Toundykov, Daniel 6 Triggiani, Roberto 5 Komornik, Vilmos 5 Maniar, Lahcen 5 O’Regan, Donal 4 Aouadi, Moncef 4 Avalos, George 4 Bociu, Lorena 4 Chbani, Zaki 4 Fu, Xianlong 4 Haraux, Alain 4 Jordan, Pedro M. 4 Mercier, Denis 4 Radu, Petronela 4 Riahi, Hassan 4 Shibata, Yoshihiro 4 Sritharan, Sivaguru S. 3 Carillo, Sandra 3 Chueshov, Igor’ Dmitrievich 3 Colli, Pierluigi 3 Disconzi, Marcelo Mendes 3 Eller, Matthias M. 3 Gilardi, Gianni 3 Kukavica, Igor 3 Lasiecka, Irena 3 Loreti, Paola 3 Mahmudov, Elimhan Nadir 3 Naso, Maria Grazia 3 Papageorgiou, Nikolaos S. 3 Renardy, Michael 3 Said-Houari, Belkacem 3 Seidman, Thomas I. 3 Simonett, Gieri 3 Suzuki, Toshiyuki 2 Ammar-Khodja, Farid 2 Attouch, Hedy 2 Aulisa, Eugenio 2 Avdonin, Sergeĭ Anatol’evich 2 Azzam-Laouir, Dalila 2 Balhag, Aicha 2 Belishev, Mikhail Igorevitch 2 Ben Amara, Jamel 2 Ait Ben Hassi, El Mustapha 2 Biccari, Umberto 2 Cavalcanti, Marcelo Moreira 2 Chang, Yong-Kui 2 Christiansen, Peter Leth 2 Christov, Ivan C. 2 Ciotir, Ioana 2 Court, Sébastien 2 Cung The Anh 2 de Teresa, Luz 2 Fabrizio, Mauro 2 Fečkan, Michal 2 Feng, Binhua 2 Forcadel, Nicolas 2 Gaididei, Yuri Borisovich 2 Gasiński, Leszek 2 Giorgi, Claudio 2 Golden, John Murrough 2 Hajjaj, Abdelkarim 2 Han, Weimin 2 Han, Yuzhu 2 Ibragimov, Akif 2 Isakov, Victor M. 2 Jacob, Birgit 2 Kuttler, Kenneth L. jun. 2 Le Roux, Daniel Y. 2 Lenhart, Suzanne M. 2 Lewicka, Marta 2 Li, Yangrong 2 Limaco, Juan 2 Liu, Chein-Shan 2 Liu, Zhenhai 2 Marinoschi, Gabriela 2 Migórski, Stanisław 2 Mitra, Debanjana 2 Morro, Angelo 2 Moulahi, Taoufik 2 Munteanu, Ionut 2 Narciso, Vando 2 Ngoc, Tran Bao 2 Ngom, Evrad M. D. 2 Okamoto, Mamoru 2 Özer, Ahmet Özkan 2 Pandolfi, Luciano 2 Pankavich, Stephen 2 Pata, Vittorino 2 Pazoto, Ademir Fernando 2 Peralta, Gilbert R. 2 Perugia, Carmen 2 Prüß, Jan Wilhelm 2 Racke, Reinhard 2 Rădulescu, Vicenţiu D. 2 Russell, David L. 2 Saal, Jürgen 2 Saanouni, Tarek ...and 544 more Authors
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### Fields

 312 Partial differential equations (35-XX) 145 Systems theory; control (93-XX) 77 Mechanics of deformable solids (74-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 61 Fluid mechanics (76-XX) 55 Operator theory (47-XX) 48 Ordinary differential equations (34-XX) 28 Dynamical systems and ergodic theory (37-XX) 24 Integral equations (45-XX) 23 Numerical analysis (65-XX) 20 Probability theory and stochastic processes (60-XX) 16 Biology and other natural sciences (92-XX) 15 Classical thermodynamics, heat transfer (80-XX) 9 Operations research, mathematical programming (90-XX) 8 Functional analysis (46-XX) 7 General and overarching topics; collections (00-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

269 Publications have been cited 1,334 times in 1,118 Documents Cited by Year
Controllability for fractional evolution inclusions without compactness. Zbl 1335.34096
Zhou, Yong; Vijayakumar, V.; Murugesu, R.
2015
Feedback control of nonlinear dissipative systems by finite determining parameters – a reaction-diffusion paradigm. Zbl 1304.35715
Azouani, Abderrahim; Titi, Edriss S.
2014
Mathematics of nonlinear acoustics. Zbl 1339.35003
Kaltenbacher, Barbara
2015
On the Cauchy problem for the Schrödinger-Hartree equation. Zbl 1335.35230
Feng, Binhua; Yuan, Xiangxia
2015
Finite determining parameters feedback control for distributed nonlinear dissipative systems – a computational study. Zbl 1375.35256
Lunasin, Evelyn; Titi, Edriss S.
2017
Optimal scalar products in the Moore-Gibson-Thompson equation. Zbl 1426.35171
Pellicer, Marta; Solà-Morales, Joan
2019
Rational decay rates for a PDE heat-structure interaction: a frequency domain approach. Zbl 1275.35035
Avalos, George; Triggiani, Roberto
2013
Energy methods for abstract nonlinear Schrödinger equations. Zbl 1283.35128
Okazawa, Noboru; Suzuki, Toshiyuki; Yokota, Tomomi
2012
The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system. Zbl 1304.35105
Said-Houari, Belkacem; Soufyane, Abdelaziz
2014
Fluid-structure interaction with and without internal dissipation of the structure: a contrast study in stability. Zbl 1277.35045
Avalos, George; Triggiani, Roberto
2013
Approximate controllability of Sobolev type fractional evolution systems with nonlocal conditions. Zbl 06744040
Wang, Jinrong; Fečkan, Michal; Zhou, Yong
2017
Carleman estimates and null controllability of coupled degenerate systems. Zbl 1272.35124
Ben Hassi, El Mustapha Ait; Khodja, Farid Ammar; Hajjaj, Abdelkarim; Maniar, Lahcen
2013
Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems. Zbl 1302.93173
Augner, Björn; Jacob, Birgit
2014
On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation. Zbl 1364.35042
Domingos Cavalcanti, Valéria Neves; Lasiecka, Irena; Caixeta, Arthur Henrique
2016
Regularity and stability of a wave equation with a strong damping and dynamic boundary conditions. Zbl 1277.35232
Fourrier, Nicolas; Lasiecka, Irena
2013
General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term. Zbl 1360.35110
Liu, Wenjun; Zhu, Biqing; Li, Gang; Wang, Danhua
2017
On Kelvin-Voigt model and its generalizations. Zbl 1371.74067
Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.
2012
Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping. Zbl 1366.35185
Jorge da Silva, Marcio Antonio; Narciso, Vando
2017
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential. Zbl 1364.35131
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2017
Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions. Zbl 1349.35412
2016
The $$L^p$$-approach to the fluid-rigid body interaction problem for compressible fluids. Zbl 1336.35293
Hieber, Matthias; Murata, Miho
2015
Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay. Zbl 1381.34097
Fu, Xianlong
2017
On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities. Zbl 1302.76066
Prüss, Jan; Shibata, Yoshihiro; Shimizu, Senjo; Simonett, Gieri
2012
Global well-posedness and exponential stability for Kuznetsov’s equation in $$L_p$$-spaces. Zbl 1275.35126
Meyer, Stefan; Wilke, Mathias
2013
Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise. Zbl 1260.35128
Sakthivel, Kumarasamy; Sritharan, Sivaguru S.
2012
On the Muskat problem. Zbl 1351.35271
Prüss, Jan; Simonett, Gieri
2016
Certain questions of feedback stabilization for Navier-Stokes equations. Zbl 1259.93095
Fursikov, Andrei; Gorshkov, Alexey V.
2012
Hyperbolic Navier-Stokes equations. I: Local well-posedness. Zbl 1262.35171
Racke, Reinhard; Saal, Jürgen
2012
Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach. Zbl 1431.35079
Signori, Andrea
2020
Heat conduction with memory: a singular kernel problem. Zbl 1304.45010
Carillo, Sandra; Valente, Vanda; Vergara Caffarelli, Giorgio
2014
Hyperbolic Navier-Stokes equations. II: Global existence of small solutions. Zbl 1371.35223
Racke, Reinhard; Saal, Jürgen
2012
Asymptotics for a second order differential equation with a linear, slowly time-decaying damping term. Zbl 1372.34084
Haraux, Alain; Jendoubi, Mohamed Ali
2013
Recovery of time dependent volatility coefficient by linearization. Zbl 1291.35444
Isakov, Victor
2014
Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient. Zbl 1407.37125
Attouch, Hedy; Cabot, Alexandre; Chbani, Zaki; Riahi, Hassan
2018
Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition. Zbl 1339.35155
De Maio, Umberto; Nandakumaran, Akamabadath K.; Perugia, Carmen
2015
Boundary approximate controllability of some linear parabolic systems. Zbl 1281.93024
Olive, Guillaume
2014
Quasi-stability and exponential attractors for a non-gradient system – applications to piston-theoretic plates with internal damping. Zbl 1355.35027
Howell, Jason S.; Lasiecka, Irena; Webster, Justin T.
2016
Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory. Zbl 1343.35036
2015
Null controllability with constraints on the state for the 1-D Kuramoto-Sivashinsky equation. Zbl 1337.93020
Gao, Peng
2015
Analyticity and regularity for a class of second order evolution equations. Zbl 1262.35069
Haraux, Alain; Ôtani, Mitsuharu
2013
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations. Zbl 1436.76008
Mohan, Manil T.
2020
Existence and asymptotic behaviour for solutions of dynamical equilibrium systems. Zbl 1288.37031
Chbani, Zaki; Riahi, Hassan
2014
Periodic solutions for time-dependent subdifferential evolution inclusions. Zbl 1372.34097
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.
2017
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay. Zbl 07003538
Triggiani, Roberto; Zhang, Jing
2018
Optimal control of second order delay-discrete and delay-differential inclusions with state constraints. Zbl 1407.49023
Mahmudov, Elimhan N.
2018
Hölder-estimates for non-autonomous parabolic problems with rough data. Zbl 1353.35095
Rehberg, Joachim; Meinlschmidt, Hannes
2016
A mixed variational formulation for the wellposedness and numerical approximation of a PDE model arising in a 3-D fluid-structure interaction. Zbl 1302.35307
Avalos, George; Clark, Thomas J.
2014
Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling. Zbl 1304.35434
Brunnhuber, Rainer; Kaltenbacher, Barbara; Radu, Petronela
2014
Global dynamics on a circular domain of a diffusion predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional type. Zbl 1334.35113
Abid, Walid; Yafia, Radouane; Aziz-Alaoui, M. A.; Bouhafa, Habib; Abichou, Azgal
2015
Boundary feedback stabilization of a chain of serially connected strings. Zbl 1433.93104
Ammari, Kaïs; Mercier, Denis
2015
New results on controllability of fractional evolution systems with order $$\alpha\in (1,2)$$. Zbl 1481.34081
Zhou, Yong; He, Jia Wei
2021
Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators. Zbl 1469.34084
Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Monteiro Marques, M. D. P.
2020
Waves and diffusion on metric graphs with general vertex conditions. Zbl 07116756
Engel, Klaus-Jochen; Fijavž, Marjeta Kramar
2019
Null controllability for parabolic equations with dynamic boundary conditions. Zbl 1366.93058
Maniar, Lahcen; Meyries, Martin; Schnaubelt, Roland
2017
$$\mathbb{L}^p$$-solutions of the stochastic Navier-Stokes equations subject to Lévy noise with $$\mathbb{L}^m(\mathbb{R}^m)$$ initial data. Zbl 1366.76022
Mohan, Manil T.; Sritharan, Sivaguru S.
2017
Indirect stabilization of hyperbolic systems through resolvent estimates. Zbl 1352.93083
Guglielmi, Roberto
2017
New methods for local solvability of quasilinear symmetric hyperbolic systems. Zbl 1346.35126
Mohan, Manil T.; Sritharan, Sivaguru S.
2016
Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials. Zbl 1310.74012
Eleuteri, Michela; Lussardi, Luca
2014
On a class of elliptic operators with unbounded diffusion coefficients. Zbl 1302.47071
Metafune, Giorgio; Spina, Chiara; Tacelli, Cristian
2014
On interaction of circular cylindrical shells with a Poiseuille type flow. Zbl 1351.74024
Chueshov, Igor; Fastovska, Tamara
2016
On the 2D free boundary Euler equation. Zbl 1282.35286
2012
Sensitivity analysis for a free boundary fluid-elasticity interaction. Zbl 1259.93040
Bociu, Lorena; Zolésio, Jean-Paul
2013
Decay rates for the Moore-Gibson-Thompson equation with memory. Zbl 1473.35367
2021
Discontinuous solutions for the generalized short pulse equation. Zbl 1426.35083
Coclite, Giuseppe Maria; di Ruvo, Lorenzo
2019
Uniform stabilization of a multilayer Rao-Nakra sandwich beam. Zbl 1274.35405
Özer, A. Özkan; Hansen, Scott W.
2013
Cross-like internal observability of rectangular membranes. Zbl 1284.35249
2014
Asymptotic for the perturbed heavy ball system with vanishing damping term. Zbl 1366.34070
Balti, Mounir; May, Ramzi
2017
The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework. Zbl 1359.35162
Zhang, Jing
2017
Continuous data assimilation algorithm for simplified Bardina model. Zbl 1405.93121
Albanez, Débora A. F.; Benvenutti, Maicon J.
2018
Optimal control for the stochastic Fitzhugh-Nagumo model with recovery variable. Zbl 1408.93148
Cordoni, Francesco; Di Persio, Luca
2018
Backward controllability of pullback trajectory attractors with applications to multi-valued Jeffreys-Oldroyd equations. Zbl 1405.35007
Li, Yangrong; Wang, Renhai; She, Lianbing
2018
Continuous maximal regularity on singular manifolds and its applications. Zbl 1348.53048
Shao, Yuanzhen
2016
The stochastic linear quadratic optimal control problem in Hilbert spaces: a polynomial chaos approach. Zbl 1350.49019
Levajković, Tijana; Mena, Hermann; Tuffaha, Amjad
2016
A vanishing diffusion limit in a nonstandard system of phase field equations. Zbl 1320.35172
Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
2014
Convergence to steady state for the solutions of a nonlocal reaction-diffusion equation. Zbl 1433.35190
Boussaïd, Samira; Hilhorst, Danielle; Nguyen, Thanh Nam
2015
Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems. Zbl 1262.35038
Abdallah, Farah; Mercier, Denis; Nicaise, Serge
2013
Avoiding degeneracy in the Westervelt equation by state constrained optimal control. Zbl 1269.49038
Clason, Christian; Kaltenbacher, Barbara
2013
A local existence result for a system of viscoelasticity with physical viscosity. Zbl 1273.74024
Lewicka, Marta; Mucha, Piotr B.
2013
Energy methods for Hartree type equations with inverse-square potentials. Zbl 1282.35358
Suzuki, Toshiyuki
2013
Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation. Zbl 1433.93016
Gao, Peng
2020
Optimal control of solutions of a multipoint initial-final problem for non-autonomous evolutionary Sobolev type equation. Zbl 1426.49007
Sagadeeva, Minzilia A.; Zagrebina, Sophiya A.; Manakova, Natalia A.
2019
Periodic solutions for implicit evolution inclusions. Zbl 1476.34103
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2019
Optimal control of a diffusion/reaction/switching system. Zbl 1276.49004
Seidman, Thomas I.
2013
Well-posedness for degenerate Schrödinger equations. Zbl 1286.35086
Cicognani, Massimo; Reissig, Michael
2014
Optimal control for stochastic heat equation with memory. Zbl 1292.45003
Confortola, Fulvia; Mastrogiacomo, Elisa
2014
On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems. Zbl 1366.35235
Abdulla, Ugur G.; Cosgrove, Evan; Goldfarb, Jonathan
2017
Stability problem for the age-dependent predator-prey model. Zbl 1408.35197
Dawidowicz, Antoni Leon; Poskrobko, Anna
2018
Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method. Zbl 1405.65111
Ruan, Zhousheng; Zhang, Sen; Xiong, Sican
2018
Observability of rectangular membranes and plates on small sets. Zbl 1354.74122
Komornik, Vilmos; Loreti, Paola
2014
On the viscoelastic coupled suspension bridge. Zbl 1304.35111
Bochicchio, Ivana; Giorgi, Claudio; Vuk, Elena
2014
Constructing free energies for materials with memory. Zbl 1302.80002
Murrough Golden, John
2014
On the nonlinear stability of ternary porous media via only one necessary and sufficient algebraic condition. Zbl 1305.76112
Rionero, Salvatore
2014
Approximate controllability of abstract nonsimple thermoelastic problem. Zbl 1335.93025
2015
Memory relaxation of type III thermoelastic extensible beams and Berger plates. Zbl 1262.35051
Dell’Oro, Filippo; Pata, Vittorino
2012
Vibrations of a damped extensible beam between two stops. Zbl 1371.74162
Berti, Alessia; Naso, Maria Grazia
2013
Simultaneous stabilization of a system of interacting plate and membrane. Zbl 1259.93101
Tebou, Louis
2013
Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III. Zbl 1272.35039
2013
Null controllability for a heat equation with dynamic boundary conditions and drift terms. Zbl 1445.35197
Khoutaibi, Abdelaziz; Maniar, Lahcen
2020
A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case. Zbl 1481.35081
Chen, Wenhui; Palmieri, Alessandro
2021
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling. Zbl 07500388
Attouch, Hedy; Balhag, Aïcha; Chbani, Zaki; Riahi, Hassan
2022
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity. Zbl 07500368
Han, Yuzhu; Li, Qi
2022
Pontryagin maximum principle for the optimal control of linearized compressible Navier-Stokes equations with state constraints. Zbl 07500382
Doboszczak, Stefan; Mohan, Manil T.; Sritharan, Sivaguru S.
2022
New results on controllability of fractional evolution systems with order $$\alpha\in (1,2)$$. Zbl 1481.34081
Zhou, Yong; He, Jia Wei
2021
Decay rates for the Moore-Gibson-Thompson equation with memory. Zbl 1473.35367
2021
A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case. Zbl 1481.35081
Chen, Wenhui; Palmieri, Alessandro
2021
Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy. Zbl 1480.35068
Zu, Ge; Guo, Bin
2021
Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor. Zbl 1473.35415
Wu, Fan
2021
Results on controllability of non-densely characterized neutral fractional delay differential system. Zbl 1469.93009
Jothimani, Kasthurisamy; Kaliraj, Kalimuthu; Panda, Sumati Kumari; Nisar, Kotakkaran Sooppy; Ravichandran, Chokkalingam
2021
Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term. Zbl 1480.35005
Lv, Wenbin; Wang, Qingyuan
2021
Approximation theorems for controllability problem governed by fractional differential equation. Zbl 1485.93064
Dhayal, Rajesh; Malik, Muslim; Abbas, Syed; Kumar, Anil; Sakthivel, Rathinasamy
2021
Funnel control for boundary control systems. Zbl 1471.93141
Puche, Marc; Reis, Timo; Schwenninger, Felix L.
2021
S-asymptotically $$\omega$$-periodic mild solutions and stability analysis of hilfer fractional evolution equations. Zbl 07460239
Bedi, Pallavi; Kumar, Anoop; Abdeljawad, Thabet; Khan, Aziz
2021
Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions. Zbl 1476.49029
Mahmudov, Elimhan N.
2021
Boundary null-controllability of coupled parabolic systems with Robin conditions. Zbl 1480.35017
Bhandari, Kuntal; Boyer, Franck
2021
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. Zbl 1480.35372
Schnaubelt, Roland; Spitz, Martin
2021
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay. Zbl 1476.93084
Vijayakumar, V.; Udhayakumar, R.; Kavitha, K.
2021
Lifespan of solutions to a parabolic type Kirchhoff equation with time-dependent nonlinearity. Zbl 1481.35087
Li, Haixia
2021
Approximate controllability of network systems. Zbl 1481.93012
Gantouh, Yassine El; Hadd, Said; Rhandi, Abdelaziz
2021
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions. Zbl 1481.35400
Hassi, El Mustapha Ait Ben; Chorfi, Salah-Eddine; Maniar, Lahcen; Oukdach, Omar
2021
Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach. Zbl 1431.35079
Signori, Andrea
2020
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations. Zbl 1436.76008
Mohan, Manil T.
2020
Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators. Zbl 1469.34084
Azzam-Laouir, Dalila; Belhoula, Warda; Castaing, Charles; Monteiro Marques, M. D. P.
2020
Global exact controllability to the trajectories of the Kuramoto-Sivashinsky equation. Zbl 1433.93016
Gao, Peng
2020
Null controllability for a heat equation with dynamic boundary conditions and drift terms. Zbl 1445.35197
Khoutaibi, Abdelaziz; Maniar, Lahcen
2020
Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems. Zbl 1455.93169
Rodrigues, Sérgio S.
2020
Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data. Zbl 1452.35133
2020
Tykhonov well-posedness of a viscoplastic contact problem. Zbl 1452.74086
Sofonea, Mircea; Xiao, Yi-bin
2020
Null-controllability properties of a fractional wave equation with a memory term. Zbl 1443.35090
2020
Existence of mass-conserving weak solutions to the singular coagulation equation with multiple fragmentation. Zbl 1463.45043
Barik, Prasanta Kumar
2020
On a Kirchhoff wave model with nonlocal nonlinear damping. Zbl 1442.35269
Narciso, Vando
2020
Almost mixed semi-continuous perturbation of Moreau’s sweeping process. Zbl 1431.34026
Affane, Doria; Aissous, Meriem; Yarou, Mustapha Fateh
2020
Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network. Zbl 1452.35147
Cerpa, Eduardo; Crépeau, Emmanuelle; Valein, Julie
2020
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping. Zbl 1445.35067
Luo, Jun-Ren; Xiao, Ti-Jun
2020
Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints. Zbl 1439.35315
Sengouga, Abdelmouhcene
2020
Initial-boundary value problems for multi-term time-fractional diffusion equations with $$x$$-dependent coefficients. Zbl 1431.35231
Li, Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro
2020
The Kalman condition for the boundary controllability of coupled 1-d wave equations. Zbl 1435.35397
Avdonin, Sergei; Park, Jeff; de Teresa, Luz
2020
Remarks on the damped nonlinear Schrödinger equation. Zbl 1452.35194
Saanouni, Tarek
2020
Existence and asymptotic stability of periodic solutions for neutral evolution equations with delay. Zbl 1467.34075
Li, Qiang; Wei, Mei
2020
On the management fourth-order Schrödinger-Hartree equation. Zbl 1452.35178
Banquet, Carlos; Villamizar-Roa, Élder J.
2020
History-dependent differential variational-hemivariational inequalities with applications to contact mechanics. Zbl 1455.35153
Liu, Zhenhai; Nguyen, Van Thien; Yao, Jen-Chih; Zeng, Shengda
2020
Uniform stabilization of a wave equation with partial Dirichlet delayed control. Zbl 1443.35092
Wang, Xiaorui; Xu, Genqi
2020
On a backward problem for two-dimensional time fractional wave equation with discrete random data. Zbl 1444.35156
Tuan, Nguyen Huy; Thach, Tran Ngoc; Zhou, Yong
2020
On quasilinear parabolic equations and continuous maximal regularity. Zbl 1431.35085
LeCrone, Jeremy; Simonett, Gieri
2020
Stability analysis in some strongly prestressed rectangular plates. Zbl 1441.35038
Chu, Jifeng; Garrione, Maurizio; Gazzola, Filippo
2020
Forward controllability of a random attractor for the non-autonomous stochastic sine-Gordon equation on an unbounded domain. Zbl 1456.35043
Yang, Shuang; Li, Yangrong
2020
Pointwise control of the linearized Gear-Grimshaw system. Zbl 1452.35165
Capistrano-Filho, Roberto de A.; Komornik, Vilmos; Pazoto, Ademir F.
2020
Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation driven by a multiplicative noise. Zbl 1458.93206
Munteanu, Ionuţ
2020
Nonlocal final value problem governed by semilinear anomalous diffusion equations. Zbl 1455.35302
Tran, Dinh-Ke; Lam, Tran-Phuong-Thuy
2020
Numerical analysis of a nonmonotone dynamic contact problem of a non-clamped piezoelectric viscoelastic body. Zbl 1452.74104
Bartosz, Krzysztof
2020
Differential inclusion problems with convolution and discontinuous nonlinearities. Zbl 1464.35140
Liu, Yongjian; Liu, Zhenhai; Motreanu, Dumitru
2020
Existence for a quasistatic variational-hemivariational inequality. Zbl 1455.35117
Peng, Zijia; Ma, Cuiming; Liu, Zhonghui
2020
Optimal scalar products in the Moore-Gibson-Thompson equation. Zbl 1426.35171
Pellicer, Marta; Solà-Morales, Joan
2019
Waves and diffusion on metric graphs with general vertex conditions. Zbl 07116756
Engel, Klaus-Jochen; Fijavž, Marjeta Kramar
2019
Discontinuous solutions for the generalized short pulse equation. Zbl 1426.35083
Coclite, Giuseppe Maria; di Ruvo, Lorenzo
2019
Optimal control of solutions of a multipoint initial-final problem for non-autonomous evolutionary Sobolev type equation. Zbl 1426.49007
Sagadeeva, Minzilia A.; Zagrebina, Sophiya A.; Manakova, Natalia A.
2019
Periodic solutions for implicit evolution inclusions. Zbl 1476.34103
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2019
Discrete regularization. Zbl 1425.74251
Margolin, Len; Plesko, Catherine
2019
Stability of the anisotropic Maxwell equations with a conductivity term. Zbl 1428.35565
Eller, Matthias
2019
Scattering theory for semilinear Schrödinger equations with an inverse-square potential via energy methods. Zbl 1428.35539
Suzuki, Toshiyuki
2019
A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid. Zbl 1423.35463
Disconzi, Marcelo M.; Kukavica, Igor
2019
Isogeometric shape optimization for nonlinear ultrasound focusing. Zbl 1423.35315
Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara; Wunderlich, Linus
2019
Anti-plane shear Lamb’s problem on random mass density fields with fractal and Hurst effects. Zbl 1425.74252
Zhang, Xian; Nishawala, Vinesh; Ostoja-Starzewski, Martin
2019
The cost of boundary controllability for a parabolic equation with inverse square potential. Zbl 1425.93045
Martinez, Patrick; Vancostenoble, Judith
2019
Decay rate of the Timoshenko system with one boundary damping. Zbl 1428.35578
Mercier, Denis; Régnier, Virginie
2019
Optimal control of evolution differential inclusions with polynomial linear differential operators. Zbl 1426.49003
Mahmudov, Elimhan N.
2019
Simultaneous controllability of two vibrating strings with variable coefficients. Zbl 1425.93035
Amara, Jamel Ben; Beldi, Emna
2019
Well-posedness and asymptotic behavior of the dissipative Ostrovsky equation. Zbl 1428.35469
Wang, Hongwei; Esfahani, Amin
2019
Existence and extinction in finite time for Stratonovich gradient noise porous media equations. Zbl 1439.35593
Turra, Mattia
2019
Abelian versus non-abelian Bäcklund charts: some remarks. Zbl 1426.58010
Carillo, Sandra; Schiavo, Mauro Lo; Schiebold, Cornelia
2019
On a $$C$$-integrable equation for second sound propagation in heated dielectrics. Zbl 1430.35226
Christov, Ivan C.
2019
Pattern formation in flows of asymmetrically interacting particles: peristaltic Pedestrian dynamics as a case study. Zbl 1426.37060
Gaididei, Yuri B.; Marschler, Christian; Sørensen, Mads Peter; Christiansen, Peter L.; Rasmussen, Jens Juul; Starke, Jens
2019
Traveling wave solutions to modified Burgers and diffusionless Fisher PDE’s. Zbl 1426.35065
Mickens, Ronald; Oyedeji, Kale
2019
Asymptotic behavior of solutions to a higher-order KdV-type equation with critical nonlinearity. Zbl 1428.35464
Okamoto, Mamoru
2019
Controllability of the semilinear wave equation governed by a multiplicative control. Zbl 1425.93046
Ouzahra, Mohamed
2019
A new energy-gap cost functional approach for the exterior Bernoulli free boundary problem. Zbl 1423.35468
Rabago, Julius Fergy T.; Azegami, Hideyuki
2019
Exponential stability for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping. Zbl 1426.35030
de Almeida, Adriana Flores; Cavalcanti, Marcelo Moreira; Zanchetta, Janaina Pedroso
2019
Sliding mode control of the Hodgkin-Huxley mathematical model. Zbl 1423.35178
Cavaterra, Cecilia; Enăchescu, Denis; Marinoschi, Gabriela
2019
Rate of convergence of inertial gradient dynamics with time-dependent viscous damping coefficient. Zbl 1407.37125
Attouch, Hedy; Cabot, Alexandre; Chbani, Zaki; Riahi, Hassan
2018
Optimal control for a conserved phase field system with a possibly singular potential. Zbl 1405.49003
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2018
Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay. Zbl 07003538
Triggiani, Roberto; Zhang, Jing
2018
Optimal control of second order delay-discrete and delay-differential inclusions with state constraints. Zbl 1407.49023
Mahmudov, Elimhan N.
2018
Continuous data assimilation algorithm for simplified Bardina model. Zbl 1405.93121
Albanez, Débora A. F.; Benvenutti, Maicon J.
2018
Optimal control for the stochastic Fitzhugh-Nagumo model with recovery variable. Zbl 1408.93148
Cordoni, Francesco; Di Persio, Luca
2018
Backward controllability of pullback trajectory attractors with applications to multi-valued Jeffreys-Oldroyd equations. Zbl 1405.35007
Li, Yangrong; Wang, Renhai; She, Lianbing
2018
Stability problem for the age-dependent predator-prey model. Zbl 1408.35197
Dawidowicz, Antoni Leon; Poskrobko, Anna
2018
Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method. Zbl 1405.65111
Ruan, Zhousheng; Zhang, Sen; Xiong, Sican
2018
Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface. Zbl 1405.35259
Shibata, Yoshihiro
2018
Robust Stackelberg controllability for linear and semilinear heat equations. Zbl 1405.49004
Hernández-Santamaría, Víctor; de Teresa, Luz
2018
On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions. Zbl 1415.35042
Ha, Tae Gab
2018
Null controllability of the incompressible Stokes equations in a 2-D channel using normal boundary control. Zbl 1405.93122
Chowdhury, Shirshendu; Mitra, Debanjana; Renardy, Michael
2018
The controllability of a thermoelastic plate problem revisited. Zbl 1405.93033
2018
On state-dependent sweeping process in Banach spaces. Zbl 1411.34086
Azzam-Laouir, Dalila; Selamnia, Fatiha
2018
Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics. Zbl 1404.35268
Colturato, Michele
2018
Existence and stabilization of a Kirchhoff moving string with a delay in the boundary or in the internal feedback. Zbl 1405.35106
Kelleche, Abdelkarim; Tatar, Nasser-Eddine
2018
Dynamic and electrostatic modeling for a piezoelectric smart composite and related stabilization results. Zbl 1405.35203
Özer, Ahmet Özkan
2018
Inverse observability inequalities for integrodifferential equations in square domains. Zbl 1405.93047
Loreti, Paola; Sforza, Daniela
2018
The recovery of a parabolic equation from measurements at a single point. Zbl 1404.35485
Boumenir, Amin; Tuan, Vu Kim; Hoang, Nguyen
2018
Asymptotic behavior of a hierarchical size-structured population model. Zbl 1408.35201
Yan, Dongxue; Fu, Xianlong
2018
Energy decay for the damped wave equation on an unbounded network. Zbl 1407.35100
Assel, Rachid; Ghazel, Mohamed
2018
...and 169 more Documents
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### Cited by 1,365 Authors

 21 Lasiecka, Irena 19 Mohan, Manil Thankamani 19 Titi, Edriss Saleh 16 Kaltenbacher, Barbara 14 Al-saedi, Ahmed Eid Salem 14 Colli, Pierluigi 14 Sprekels, Jürgen 13 Ahmad, Bashir 13 Saanouni, Tarek 12 Maniar, Lahcen 12 Nikolić, Vanja 12 Said-Houari, Belkacem 12 Zhou, Yong 11 Gilardi, Gianni 11 Wang, Jinrong 10 Kukavica, Igor 10 Signori, Andrea 9 Aouadi, Moncef 9 Avalos, George 9 Jolly, Michael S. 9 Mahmudov, Elimhan Nadir 9 Riahi, Hassan 8 Attouch, Hedy 8 Benchohra, Mouffak 8 Chbani, Zaki 8 Kunisch, Karl 8 Triggiani, Roberto 8 Tuffaha, Amjad M. 7 Feng, Binhua 7 Geredeli, Pelin Guven 7 Guesmia, Aissa 7 Li, Yangrong 7 Nicaise, Serge 7 Pata, Vittorino 7 Peng, Li 7 Quintanilla de Latorre, Ramón 7 Rodrigues, Sérgio S. 7 Takahashi, Takéo 6 Abbas, Said 6 Carillo, Sandra 6 Chen, Pengyu 6 Coclite, Giuseppe Maria 6 Conti, Monica C. 6 Di Ruvo, Lorenzo 6 Larios, Adam 6 Liu, Chein-Shan 6 Liu, Wenjun 6 Muha, Boris 6 Pandolfi, Luciano 6 Prüß, Jan Wilhelm 6 Rajagopal, Kumbakonam Ramamani 6 Simonett, Gieri 6 Sritharan, Sivaguru S. 6 Zhao, Chunxiang 6 Zhou, Yong 6 Zwart, Hans J. 5 Abdulla, Ugur G. 5 Bociu, Lorena 5 Boulaaras, Salah Mahmoud 5 Bucci, Francesca 5 Choucha, Abdelbaki 5 Dinh, Van Duong 5 Farhat, Aseel 5 Fridman, Emilia 5 Fursikov, Andreĭ Vladimirovich 5 Gal, Ciprian Gheorghe Sorin 5 Hu, Yuxi 5 Jacob, Birgit 5 Jordan, Pedro M. 5 Lunasin, Evelyn M. 5 Maity, Debayan 5 Martinez, Vincent R. 5 Matioc, Bogdan-Vasile 5 Murugesu, R. 5 O’Regan, Donal 5 Pellicer, Marta 5 Peralta, Gilbert R. 5 Perugia, Carmen 5 Racke, Reinhard 5 Scarpa, Luca 5 Shao, Yuanzhen 5 Toundykov, Daniel 5 Vijayakumar, Velusamy 5 Webster, Justin T. 5 Wilke, Mathias 5 Zhang, Xuping 4 Azzam-Laouir, Dalila 4 Biswas, Animikh 4 Bounadja, Hizia 4 Boyer, Franck 4 Chen, Zhijing 4 Chentouf, Boumediène 4 Debbouche, Amar 4 Dekkers, Adrien 4 Disconzi, Marcelo Mendes 4 Faella, Luisa 4 Fernández, Jose Ramon 4 Fragnelli, Genni 4 Ghisi, Marina 4 Gobbino, Massimo ...and 1,265 more Authors
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### Cited in 236 Journals

 80 Evolution Equations and Control Theory 53 Journal of Mathematical Analysis and Applications 52 Journal of Differential Equations 42 Journal of Evolution Equations 39 Applied Mathematics and Optimization 27 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Discrete and Continuous Dynamical Systems. Series S 21 Applicable Analysis 20 Discrete and Continuous Dynamical Systems 19 Discrete and Continuous Dynamical Systems. Series B 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 SIAM Journal on Control and Optimization 18 Nonlinear Analysis. Real World Applications 16 Journal of Mathematical Fluid Mechanics 16 Advances in Difference Equations 15 Journal of Optimization Theory and Applications 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Mathematical Control and Related Fields 13 SIAM Journal on Mathematical Analysis 13 Communications on Pure and Applied Analysis 12 Chaos, Solitons and Fractals 12 Systems & Control Letters 11 Journal of Mathematical Physics 11 Automatica 11 Boundary Value Problems 10 Archive for Rational Mechanics and Analysis 10 Applied Mathematics and Computation 9 Computers & Mathematics with Applications 9 NoDEA. Nonlinear Differential Equations and Applications 8 Nonlinearity 8 Numerical Functional Analysis and Optimization 8 Acta Applicandae Mathematicae 8 Asymptotic Analysis 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Journal of Dynamical and Control Systems 7 Optimization 7 Applied Mathematics Letters 7 Journal of Inverse and Ill-Posed Problems 6 International Journal of Control 6 Journal of Nonlinear Science 6 Discrete Dynamics in Nature and Society 6 Advances in Nonlinear Analysis 5 Inverse Problems 5 Mathematical Methods in the Applied Sciences 5 Wave Motion 5 Journal of Computational and Applied Mathematics 5 Transactions of the American Mathematical Society 5 Physica D 5 Mediterranean Journal of Mathematics 5 Electronic Research Archive 4 Acta Mechanica 4 Meccanica 4 Ricerche di Matematica 4 Journal of Elasticity 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Calculus of Variations and Partial Differential Equations 4 Computational and Applied Mathematics 4 European Journal of Control 4 Vietnam Journal of Mathematics 4 Taiwanese Journal of Mathematics 4 International Journal of Applied Mathematics and Computer Science 4 Nonlinear Analysis. Modelling and Control 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Set-Valued and Variational Analysis 4 Analysis and Mathematical Physics 4 Numerical Algebra, Control and Optimization 4 AIMS Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal of Engineering Science 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Functional Analysis 3 Semigroup Forum 3 SIAM Journal on Numerical Analysis 3 Bulletin of the Iranian Mathematical Society 3 MCSS. Mathematics of Control, Signals, and Systems 3 Applied Mathematical Modelling 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 3 Topological Methods in Nonlinear Analysis 3 Fractals 3 Journal of Convex Analysis 3 Journal of Inequalities and Applications 3 Fractional Calculus & Applied Analysis 3 Communications in Contemporary Mathematics 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Differential Equations 3 Advanced Nonlinear Studies 3 SIAM Journal on Applied Dynamical Systems 3 Networks and Heterogeneous Media 3 Inverse Problems and Imaging 3 Mathematical Modelling of Natural Phenomena 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Journal of Applied Nonlinear Dynamics 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Rocky Mountain Journal of Mathematics ...and 136 more Journals
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### Cited in 43 Fields

 803 Partial differential equations (35-XX) 310 Systems theory; control (93-XX) 202 Fluid mechanics (76-XX) 192 Mechanics of deformable solids (74-XX) 164 Ordinary differential equations (34-XX) 140 Operator theory (47-XX) 136 Calculus of variations and optimal control; optimization (49-XX) 87 Numerical analysis (65-XX) 75 Dynamical systems and ergodic theory (37-XX) 50 Probability theory and stochastic processes (60-XX) 44 Real functions (26-XX) 43 Integral equations (45-XX) 43 Biology and other natural sciences (92-XX) 42 Operations research, mathematical programming (90-XX) 25 Classical thermodynamics, heat transfer (80-XX) 21 Functional analysis (46-XX) 14 Optics, electromagnetic theory (78-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Measure and integration (28-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 8 Mechanics of particles and systems (70-XX) 6 Differential geometry (53-XX) 6 Geophysics (86-XX) 5 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)