SN Partial Differential Equations and Applications

 Short Title: SN Partial Differ. Equ. Appl. Publisher: Springer Nature Switzerland, Basel ISSN: 2662-2963; 2662-2971/e Online: https://link.springer.com/journal/42985/volumes-and-issues Comments: Indexed cover-to-cover
 Documents Indexed: 166 Publications (since 2020) References Indexed: 162 Publications with 4,993 References.
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Latest Issues

 3, No. 3 (2022) 3, No. 2 (2022) 3, No. 1 (2022) 2, No. 6 (2021) 2, No. 5 (2021) 2, No. 4 (2021) 2, No. 3 (2021) 2, No. 2 (2021) 2, No. 1 (2021) 1, No. 6 (2020) 1, No. 5 (2020) 1, No. 4 (2020) 1, No. 3 (2020) 1, No. 2 (2020) 1, No. 1 (2020)
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Authors

 3 Zhang, Zhitao 2 Bartsch, Thomas J. 2 Bretti, Gabriella 2 Da Silva, Edcarlos Domingos 2 Dalcín, Lisandro D. 2 Du, Yihong 2 Gala, Sadek 2 Gosse, Laurent 2 Hamamuki, Nao 2 Hutzenthaler, Martin 2 Jentzen, Arnulf 2 Kruse, Thomas 2 Liu, Zhaoli 2 Mandel, Rainer 2 Melenk, Jens Markus 2 Ogawa, Takayoshi 2 Ozawa, Tohru 2 Pan, Xingbin 2 Parsani, Matteo 2 Ragusa, Maria Alessandra 2 Rieder, Alexander 2 Sauer, Niko 2 Sayas, Francisco-Javier 2 Tsai, Tai-Peng 1 Abels, Helmut 1 Abta, Abdelhadi 1 Almushaira, Mustafa 1 Aloui, Faouzia 1 Alves, Claudianor Oliveira 1 Amaral, Sabrina 1 Araújo, Geraldo M. 1 Araujo, Marcos A. F. 1 Asai, Taisei 1 Attar, Kamel 1 Aurazo-Alvarez, Leithold L. 1 Bae, Hantaek 1 Baldassari, Lorenzo 1 Barles, Guy 1 Başakoğlu, Engin 1 Beck, Geoffrey M. 1 Bell, Jonathan 1 Bellingeri, Carlo 1 Benhassine, Abderrazek 1 Berselli, Luigi Carlo 1 Bez, Neal 1 Bezerra, Flank David Morais 1 Bhattacharya, Debdeep 1 Bo, Xiaomeng 1 Bölcskei, Helmut 1 Bottazzi, Emanuele 1 Boutayeb, Salahaddine 1 Buchholz, Simone 1 Bueno, Hamilton P. 1 Cai, Li 1 Caligaris, Carlo 1 Cardoso, Eleomar jun. 1 Carpenter, Mark H. 1 Cavalcante, T. R. 1 Châabani, Abdelkerim 1 Chaillat, Stéphanie 1 Chamekh, Mourad 1 Chen, Hongge 1 Chen, Hua 1 Chen, Lung-Hui 1 Cheng, Xu 1 Chhetri, Maya 1 Choulli, Mourad 1 Chtioui, Hichem 1 Coclite, Giuseppe Maria 1 Coclite, Mario Michele 1 Crispo, Francesca 1 Darbas, Marion 1 de Albuquerque, José Carlos 1 de Lima Ribeiro, Ricardo 1 De Luna, Manuel Quezada 1 de Sousa, Karla Carolina Vicente 1 Del Rey Fernández, David C. 1 Diao, Huaian 1 Djurdjevac, Ana 1 Dörich, Benjamin 1 dos Prazeres, Disson 1 dos Santos, E. B. 1 Duarte, Ronaldo C. 1 E, Weinan 1 Eberhard, Léandre 1 Estrada, Ricardo 1 Fall, Mouhamed Moustapha 1 Fan, Jishan 1 Farotimi, Oluwaseun 1 Farwig, Reinhard 1 Fatima, Maryam 1 Felix, Diego Dias 1 Feng, Meiqiang 1 Fenucci, Marco 1 Ferreira, Lucas Catão de Freitas 1 Figueiredo, Giovany Malcher 1 Fliss, Sonia 1 Fosu, Gabriel Obed 1 Freitas, Mirelson M. 1 Friz, Peter Karl ...and 205 more Authors
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Fields

 145 Partial differential equations (35-XX) 28 Numerical analysis (65-XX) 24 Fluid mechanics (76-XX) 15 Operator theory (47-XX) 10 Ordinary differential equations (34-XX) 9 Functional analysis (46-XX) 9 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 8 Optics, electromagnetic theory (78-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH Open

34 Publications have been cited 69 times in 66 Documents Cited by Year
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. Zbl 1455.65200
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
2020
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
2020
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
2021
Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. Zbl 1480.35101
Nüsken, Nikolas; Richter, Lorenz
2021
Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032
Coclite, G. M.; Coclite, M. M.
2020
Entropy stable $$h/p$$-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations. Zbl 1454.65123
Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Zampini, Stefano; Parsani, Matteo
2020
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
2020
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2020
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
2020
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
Estrada, Ricardo
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
2020
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
2020
Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187
Katayama, Soichiro; Sakoda, Daisuke
2020
Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. Zbl 1459.35022
Guo, Xiaoqin; Tran, Hung V.; Yu, Yifeng
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
2020
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. Zbl 1452.65381
Gibbs, A.; Hewett, D. P.; Huybrechs, D.; Parolin, E.
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
2020
Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452
Han, Zhiqing; Xue, Ye
2020
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
2020
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
2020
Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190
Silva, Kaye; Sousa, Steffânio M.
2020
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
2020
Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411
Bae, Hantaek
2020
Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327
Ichihara, Naoyuki
2021
Regularity of the $$m$$-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
2021
Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224
Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique
2021
On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian. Zbl 1462.35115
dos Santos, E. B.; Leitão, R.
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2021
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033
Bretti, Gabriella; Gosse, Laurent
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 07447720
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
2021
Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069
Barles, G.
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
2021
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
2022
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
2022
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
2021
Solving high-dimensional Hamilton-Jacobi-Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path space. Zbl 1480.35101
Nüsken, Nikolas; Richter, Lorenz
2021
Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327
Ichihara, Naoyuki
2021
Regularity of the $$m$$-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
2021
Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224
Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique
2021
On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian. Zbl 1462.35115
dos Santos, E. B.; Leitão, R.
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
2021
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033
Bretti, Gabriella; Gosse, Laurent
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 07447720
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
2021
Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069
Barles, G.
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
2021
A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations. Zbl 1455.65200
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh
2020
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
2020
Long time behavior of a model for the evolution of morphogens in a growing tissue. Zbl 1454.35032
Coclite, G. M.; Coclite, M. M.
2020
Entropy stable $$h/p$$-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations. Zbl 1454.65123
Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Zampini, Stefano; Parsani, Matteo
2020
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
2020
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2020
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
2020
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
Estrada, Ricardo
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
2020
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
2020
Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187
Katayama, Soichiro; Sakoda, Daisuke
2020
Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form. Zbl 1459.35022
Guo, Xiaoqin; Tran, Hung V.; Yu, Yifeng
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
2020
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. Zbl 1452.65381
Gibbs, A.; Hewett, D. P.; Huybrechs, D.; Parolin, E.
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
2020
Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452
Han, Zhiqing; Xue, Ye
2020
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
2020
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
2020
Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190
Silva, Kaye; Sousa, Steffânio M.
2020
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
2020
Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411
Bae, Hantaek
2020
all top 5

Cited by 156 Authors

 7 Jentzen, Arnulf 3 Grohs, Philipp 3 Hutzenthaler, Martin 3 Kühn, Christian 3 Petersen, Philipp Christian 3 Soresina, Cinzia 2 Beck, Christian 2 Becker, Sebastian 2 Chan, Jesse 2 Cingolani, Silvia 2 E, Weinan 2 Han, Jiequn 2 Kruse, Thomas 2 Kutyniok, Gitta 2 Pham, Huyên 2 Raslan, Mones 2 Richter, Lorenz 2 Schneider, Reinhold 2 Tanaka, Kazunaga 2 Warin, Xavier 2 Yang, Haizhao 1 Abdeljawad, Ahmed 1 Ammari, Habib M. 1 Bae, Hantaek 1 Bartsch, Thomas J. 1 Becker, Simon 1 Bencomo, Mario J. 1 Berglund, Nils 1 Berner, Julius 1 Bick, Christian 1 Braunwarth, Ramon 1 Breden, Maxime 1 Bretti, Gabriella 1 Cai, Li 1 Chaker, Jamil 1 Chasseigne, Emmanuel 1 Chen, Jianyi 1 Chen, Jingrun 1 Chen, Minxin 1 Cheridito, Patrick 1 D’Acunto, Berardino 1 Del Rey Fernández, David C. 1 Dolgov, Sergey V. 1 Drake, Dow 1 Ehstand, Noémie 1 Elbrächter, Dennis 1 Engel, Maximilian 1 Farwig, Reinhard 1 Ferrer, Esteban 1 Figueiredo, Giovany Malcher 1 Fontanela, Filipe 1 Foo, Wei-Guo 1 Fornaro, Simona 1 Frunzo, Luigi 1 Fuentes, Rodrigo 1 Gallo, Marco 1 Geist, Moritz 1 Germain, Maximilien 1 Giga, Mi-Ho 1 Giga, Yoshikazu 1 Gopalakrishnan, Jay 1 Gosse, Laurent 1 Grüne, Lars 1 Gu, Yiqi 1 Guo, Qianqiao 1 Hartmann, Carsten 1 Henriques, Eurica 1 Hirayama, Hiroyuki 1 Hornung, Fabian 1 Hu, Dan 1 Huré, Côme 1 Hurth, Tobias 1 Huybrechs, Daan 1 Ichihara, Naoyuki 1 Iuorio, Annalisa 1 Jacquier, Antoine 1 Jaimungal, Sebastian 1 Kalise, Dante 1 Kaltenbacher, Manfred 1 Karasözen, Bülent 1 Kim, Minhyun 1 Kinoshita, Shinya 1 Kozono, Hideo 1 Kunisch, Karl 1 Kuroda, Ryo 1 Laakmann, Fabian 1 Lam, Nguyen 1 Lee, Woojae 1 Lejay, Antoine 1 Lin, Yimin 1 Lu, Huiqin 1 Lu, Jianfeng 1 Lu, Yuankai 1 Luongo, Vincenzo 1 Lyu, Liyao 1 Maierhofer, Georg 1 Manzanero, Juan 1 Mattei, Maria Rosaria 1 Merker, Joël 1 Millien, Pierre ...and 56 more Authors
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Cited in 41 Journals

 5 SIAM Journal on Scientific Computing 4 Journal of Computational Physics 4 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Analysis and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Constructive Approximation 2 Journal of Scientific Computing 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 Nonlinear Analysis. Real World Applications 2 Communications in Computational Physics 2 Journal of Computational Dynamics 2 SN Partial Differential Equations and Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Physica D 1 Applied Mathematics Letters 1 Stochastic Processes and their Applications 1 St. Petersburg Mathematical Journal 1 The New York Journal of Mathematics 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 Finance and Stochastics 1 Revista Matemática Complutense 1 Communications in Nonlinear Science and Numerical Simulation 1 Advances in Geometry 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 SIAM Journal on Financial Mathematics 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 AIMS Mathematics 1 Electronic Research Archive 1 SIAM Journal on Mathematics of Data Science
all top 5

Cited in 29 Fields

 43 Partial differential equations (35-XX) 30 Numerical analysis (65-XX) 13 Computer science (68-XX) 10 Probability theory and stochastic processes (60-XX) 6 Fluid mechanics (76-XX) 5 Ordinary differential equations (34-XX) 5 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)