# zbMATH — the first resource for mathematics

## Svanstedt, Nils E. M.

Compute Distance To:
 Author ID: svanstedt.nils-e-m Published as: Svanstedt, N.; Svanstedt, Nils; Svanstedt, Nils E. M.
 Documents Indexed: 36 Publications since 1992, including 1 Book
all top 5

#### Co-Authors

 8 single-authored 5 Wyller, John A. 4 Birnir, Bjorn 4 Nguetseng, Gabriel 4 Wellander, Niklas 3 Almanasreh, Hasan 3 Holmbom, Anders 3 Nnang, Hubert 3 Woukeng, Jean Louis 2 Douanla, Hermann 2 Lukkassen, Dag 2 Persson, Lars-Erik 2 Ponce, Gustavo 2 Salomonson, Sten 1 Coombes, Stephen 1 Flodén, Liselott 1 Franců, Jan 1 Jain, Pankaj 1 Kenig, Carlos Eduardo 1 Laing, Carlo R. 1 Malyutina, Elena 1 Olsson Lindberg, Marianne 1 Persson, Leif Åke 1 Sango, Mamadou 1 Schmidt, Helmut 1 Silfver, Jeanette 1 Vega, Luis
all top 5

#### Serials

 6 Applications of Mathematics 2 Applicable Analysis 2 Journal of Computational Physics 2 Discrete and Continuous Dynamical Systems 2 Journal of Nonlinear Mathematical Physics 2 Journal of Function Spaces and Applications 2 Banach Journal of Mathematical Analysis 1 Nonlinearity 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Numerical Methods for Partial Differential Equations 1 Mathematical Inequalities & Applications 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Hyperbolic Differential Equations 1 Communications in Mathematical Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Networks and Heterogeneous Media 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 29 Partial differential equations (35-XX) 6 Functional analysis (46-XX) 5 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 222 times in 163 Documents Cited by Year
On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112
Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis
1996
The homogenization method. An introduction. Zbl 0847.73003
1993
$$G$$-convergence of parabolic operators. Zbl 0933.35020
Svanstedt, Nils
1999
Multiscale convergence and reiterated homogenization of parabolic problems. Zbl 1099.35011
Holmbom, Anders; Svanstedt, Nils; Wellander, Niklas
2005
Generalized Besicovitch spaces and applications to deterministic homogenization. Zbl 1206.35032
Sango, Mamadou; Svanstedt, Nils; Woukeng, Jean Louis
2011
The local ill-posedness of the modified KdV equation. Zbl 0858.35130
Birnir, Björn; Ponce, Gustavo; Svanstedt, Nils
1996
Waves in random neural media. Zbl 1245.45008
Coombes, Stephen; Schmidt, Helmut; Laing, Carlo R.; Svanstedt, Nils; Wyller, John A.
2012
Homogenization of a Wilson-Cowan model for neural fields. Zbl 1304.35070
Svanstedt, Nils; Woukeng, Jean Louis
2013
Existence theory and strong attractors for the Rayleigh-Bénard problem with a large aspect ratio. Zbl 1174.76308
Birnir, Björn; Svanstedt, Nils
2004
Correctors for the homogenization of monotone parabolic operators. Zbl 0954.35023
Svanstedt, Nils
2000
Multiscale stochastic homogenzation of monotone operators. Zbl 1140.35341
Svanstedt, Nils
2007
$$\Sigma$$-convergence. Zbl 1229.46035
Nguetseng, Gabriel; Svanstedt, Nils
2011
A one-population Amari model with periodic microstructure. Zbl 1291.45014
Svanstedt, Nils; Wyller, John; Malyutina, Elena
2014
Periodic homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms. Zbl 1271.35006
Svanstedt, Nils; Woukeng, Jean Louis
2013
On two-scale convergence and related sequential compactness topics. Zbl 1164.40304
Holmbom, Anders; Silfver, Jeanette; Svanstedt, Nils; Wellander, Niklas
2006
Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity. Zbl 1194.35041
Nguetseng, Gabriel; Nnang, Hubert; Svanstedt, Nils
2010
$$G$$-convergence and homogenization of monotone damped hyperbolic equations. Zbl 1192.35016
Nguetseng, G.; Nnang, H.; Svanstedt, N.
2010
Stabilized finite element method for the radial Dirac equation. Zbl 1286.34119
Almanasreh, Hasan; Salomonson, Sten; Svanstedt, Nils
2013
Deterministic homogenization of quasilinear damped hyperbolic equations. Zbl 1249.35019
Nguetseng, Gabriel; Nnang, Hubert; Svanstedt, Nils
2011
Reiterated homogenization of linear eigenvalue problems in multiscale perforated domains beyond the periodic setting. Zbl 1206.35030
Douanla, Hermann; Svanstedt, Nils
2011
Convergence of quasi-linear hyperbolic equations. Zbl 1157.35009
Svanstedt, Nils
2007
Some remarks on two-scale convergence and periodic unfolding. Zbl 1265.35017
Franců, Jan; Svanstedt, Nils E. M.
2012
Homogenization of a nonlinear elliptic problem with large nonlinear potential. Zbl 1254.35018
Douanla, Hermann; Svanstedt, Nils
2012
Imbeddings of anisotropic Orlicz-Sobolev spaces and applications. Zbl 1031.49010
Jain, Pankaj; Lukkassen, Dag; Persson, Lars-Erik; Svanstedt, Nils
2002
On $$\Gamma$$-convergence in anisotropic Orlicz-Sobolev spaces. Zbl 1013.49009
Lukkassen, Dag; Svanstedt, Nils
2001
A numerical algorithm for nonlinear parabolic equations with highly oscillating coefficients. Zbl 0859.65105
Svanstedt, Nils; Wellander, Niklas; Wyller, John
1996
A numerical algorithm for the solution of the homogenized $$p$$-Poisson equation. Zbl 0796.65114
Svanstedt, N.; Wyller, J.
1992
Multiscale stochastic homogenization of convection-diffusion equations. Zbl 1199.35017
Svanstedt, Nils
2008
Reiterated homogenization of monotone parabolic problems. Zbl 1180.35076
Flodén, Liselott; Holmbom, Anders; Olsson, Marianne; Svanstedt, Nils
2007
Multiscale homogenization of the Navier-Stokes equation. Zbl 1095.76016
Svanstedt, Nils; Wellander, Niklas
2005
A one-population Amari model with periodic microstructure. Zbl 1291.45014
Svanstedt, Nils; Wyller, John; Malyutina, Elena
2014
Homogenization of a Wilson-Cowan model for neural fields. Zbl 1304.35070
Svanstedt, Nils; Woukeng, Jean Louis
2013
Periodic homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms. Zbl 1271.35006
Svanstedt, Nils; Woukeng, Jean Louis
2013
Stabilized finite element method for the radial Dirac equation. Zbl 1286.34119
Almanasreh, Hasan; Salomonson, Sten; Svanstedt, Nils
2013
Waves in random neural media. Zbl 1245.45008
Coombes, Stephen; Schmidt, Helmut; Laing, Carlo R.; Svanstedt, Nils; Wyller, John A.
2012
Some remarks on two-scale convergence and periodic unfolding. Zbl 1265.35017
Franců, Jan; Svanstedt, Nils E. M.
2012
Homogenization of a nonlinear elliptic problem with large nonlinear potential. Zbl 1254.35018
Douanla, Hermann; Svanstedt, Nils
2012
Generalized Besicovitch spaces and applications to deterministic homogenization. Zbl 1206.35032
Sango, Mamadou; Svanstedt, Nils; Woukeng, Jean Louis
2011
$$\Sigma$$-convergence. Zbl 1229.46035
Nguetseng, Gabriel; Svanstedt, Nils
2011
Deterministic homogenization of quasilinear damped hyperbolic equations. Zbl 1249.35019
Nguetseng, Gabriel; Nnang, Hubert; Svanstedt, Nils
2011
Reiterated homogenization of linear eigenvalue problems in multiscale perforated domains beyond the periodic setting. Zbl 1206.35030
Douanla, Hermann; Svanstedt, Nils
2011
Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity. Zbl 1194.35041
Nguetseng, Gabriel; Nnang, Hubert; Svanstedt, Nils
2010
$$G$$-convergence and homogenization of monotone damped hyperbolic equations. Zbl 1192.35016
Nguetseng, G.; Nnang, H.; Svanstedt, N.
2010
Multiscale stochastic homogenization of convection-diffusion equations. Zbl 1199.35017
Svanstedt, Nils
2008
Multiscale stochastic homogenzation of monotone operators. Zbl 1140.35341
Svanstedt, Nils
2007
Convergence of quasi-linear hyperbolic equations. Zbl 1157.35009
Svanstedt, Nils
2007
Reiterated homogenization of monotone parabolic problems. Zbl 1180.35076
Flodén, Liselott; Holmbom, Anders; Olsson, Marianne; Svanstedt, Nils
2007
On two-scale convergence and related sequential compactness topics. Zbl 1164.40304
Holmbom, Anders; Silfver, Jeanette; Svanstedt, Nils; Wellander, Niklas
2006
Multiscale convergence and reiterated homogenization of parabolic problems. Zbl 1099.35011
Holmbom, Anders; Svanstedt, Nils; Wellander, Niklas
2005
Multiscale homogenization of the Navier-Stokes equation. Zbl 1095.76016
Svanstedt, Nils; Wellander, Niklas
2005
Existence theory and strong attractors for the Rayleigh-Bénard problem with a large aspect ratio. Zbl 1174.76308
Birnir, Björn; Svanstedt, Nils
2004
Imbeddings of anisotropic Orlicz-Sobolev spaces and applications. Zbl 1031.49010
Jain, Pankaj; Lukkassen, Dag; Persson, Lars-Erik; Svanstedt, Nils
2002
On $$\Gamma$$-convergence in anisotropic Orlicz-Sobolev spaces. Zbl 1013.49009
Lukkassen, Dag; Svanstedt, Nils
2001
Correctors for the homogenization of monotone parabolic operators. Zbl 0954.35023
Svanstedt, Nils
2000
$$G$$-convergence of parabolic operators. Zbl 0933.35020
Svanstedt, Nils
1999
On the ill-posedness of the IVP for the generalized Korteweg-de Vries and nonlinear Schrödinger equations. Zbl 0855.35112
Birnir, Björn; Kenig, Carlos E.; Ponce, Gustavo; Svanstedt, Nils; Vega, Luis
1996
The local ill-posedness of the modified KdV equation. Zbl 0858.35130
Birnir, Björn; Ponce, Gustavo; Svanstedt, Nils
1996
A numerical algorithm for nonlinear parabolic equations with highly oscillating coefficients. Zbl 0859.65105
Svanstedt, Nils; Wellander, Niklas; Wyller, John
1996
The homogenization method. An introduction. Zbl 0847.73003
1993
A numerical algorithm for the solution of the homogenized $$p$$-Poisson equation. Zbl 0796.65114
Svanstedt, N.; Wyller, J.
1992
all top 5

#### Cited by 211 Authors

 16 Woukeng, Jean Louis 10 Svanstedt, Nils E. M. 8 Lukkassen, Dag 7 Wyller, John A. 6 Flodén, Liselott 6 Holmbom, Anders 6 Meidell, Annette 6 Valero, José 5 Kapustyan, Oleksiy V. 5 Kenig, Carlos Eduardo 5 Olsson Lindberg, Marianne 5 Ponce, Gustavo 5 Ponosov, Arcady V. 4 Cao, Liqun 4 Dong, Hao 4 Himonas, A. Alexandrou 4 Nnang, Hubert 4 Persson, Jens 4 Sango, Mamadou 4 Sun, Yi 4 Tzvetkov, Nikolay 4 Yang, Zhiqiang 3 Abdulle, Assyr 3 Almanasreh, Hasan 3 Colliander, James E. 3 Cui, Junzhi 3 Douanla, Hermann 3 Hakkaev, Sevdzhan A. 3 Linares, Felipe 3 Muntean, Adrian 3 Nguetseng, Gabriel 3 Pastor, Ademir 3 Tao, Terence 3 Vega, Luis 3 Wall, Peter 2 Bejenaru, Ioan 2 Boughammoura, Ahmed 2 Bunoiu, Renata 2 Burlakov, Evgenii O. 2 Burq, Nicolas 2 Carvajal, Xavier Paredes 2 Christov, Ognyan 2 Coombes, Stephen 2 Cruz-González, Oscar L. 2 Denkowski, Zdzislaw 2 Esfahani, Amin 2 Farah, Luiz Gustavo 2 Fatima, Tasnim 2 Gerard, Patrick 2 Guan, Tianyu 2 Han, Lijia 2 Hoang, Viet Ha 2 Holliman, Curtis 2 Huang, Jizu 2 Huber, Martin E. 2 Iliev, Iliya Dimov 2 Keel, Markus 2 Khoa, Vo Anh 2 Laing, Carlo R. 2 Malyutina, Elena 2 Migórski, Stanisław 2 Mohammed, Mogtaba A. Y. 2 Molinet, Luc 2 Nie, Yufeng 2 Oleynik, Anna 2 Pankov, Andrey V. 2 Papageorgiou, Nikolaos S. 2 Paronetto, Fabio 2 Penta, Raimondo 2 Persson, Lars-Erik 2 Petronilho, Gerson 2 Ramírez-Torres, Ariel 2 Razafimandimby, Paul André 2 Rodríguez-Ramos, Reinaldo 2 Saut, Jean-Claude 2 Silfver, Jeanette 2 Staffilani, Gigliola 2 Takaoka, Hideo 2 Tan, Wee Chin 2 Wellander, Niklas 2 Wong, Yau Shu 2 Yang, Zihao 1 Alejo, Miguel A. 1 Almqvist, Andreas 1 Arab, Nasrin 1 Bandrauk, André D. 1 Bang, Børre 1 Bartosz, Krzysztof 1 Battiato, Ilenia 1 Berggren, Stein A. 1 Biagioni, Hebe A. 1 Birnir, Bjorn 1 Bjørkavåg, Magnar 1 Braham, Yousra 1 Bravo-Castillero, Julián 1 Byström, Johan 1 Cardone, Giuseppe 1 Cazenave, Thierry 1 Chaplain, Mark A. J. 1 Chen, Mingjuan ...and 111 more Authors
all top 5

#### Cited in 76 Serials

 17 Journal of Mathematical Analysis and Applications 13 Applications of Mathematics 8 Journal of Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Applied Mathematics and Computation 4 Journal of Functional Analysis 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Physica D 4 Multiscale Modeling & Simulation 3 Applicable Analysis 3 Journal of Computational Physics 3 Mathematical Methods in the Applied Sciences 3 Journal of Mathematical Sciences (New York) 2 International Journal of Engineering Science 2 Duke Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 Journal of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 European Journal of Mechanics. A. Solids 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Nonlinear Mathematical Physics 2 Journal of Function Spaces and Applications 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Networks and Heterogeneous Media 2 The Journal of Mathematical Neuroscience 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Journal of Engineering Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Optimization Theory and Applications 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Computing and Visualization in Science 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Flow, Turbulence and Combustion 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Mathematical Analysis 1 Banach Journal of Mathematical Analysis 1 Differential Equations and Applications 1 Set-Valued and Variational Analysis 1 Afrika Matematika 1 Advances in Nonlinear Analysis 1 Journal of Elliptic and Parabolic Equations
all top 5

#### Cited in 26 Fields

 133 Partial differential equations (35-XX) 24 Mechanics of deformable solids (74-XX) 19 Fluid mechanics (76-XX) 17 Numerical analysis (65-XX) 16 Dynamical systems and ergodic theory (37-XX) 11 Functional analysis (46-XX) 9 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 7 Operator theory (47-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX)