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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.
all top 5

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

Publications by Year

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
18
2020
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
5
2020
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
5
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
4
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.
3
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
3
2020
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
3
2020
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2
2020
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
1
2020
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
Estrada, Ricardo
1
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
1
2020
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
1
2020
Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187
Katayama, Soichiro; Sakoda, Daisuke
1
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
1
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
1
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.
1
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
1
2020
Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452
Han, Zhiqing; Xue, Ye
1
2020
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
1
2020
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
1
2020
Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190
Silva, Kaye; Sousa, Steffânio M.
1
2020
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
1
2020
Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411
Bae, Hantaek
1
2020
Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327
Ichihara, Naoyuki
1
2021
Regularity of the \(m\)-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
1
2021
Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224
Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique
1
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.
1
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
1
2021
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033
Bretti, Gabriella; Gosse, Laurent
1
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 07447720
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
1
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
1
2021
Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069
Barles, G.
1
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
1
2021
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
1
2022
Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects. Zbl 1479.35038
Merker, Joël
1
2022
Neural networks-based backward scheme for fully nonlinear PDEs. Zbl 07341723
Pham, Huyên; Warin, Xavier; Germain, Maximilien
5
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
4
2021
Phase transitions arising in stochastic ergodic control associated with viscous Hamilton-Jacobi equations with bounded inward drift. Zbl 1467.35327
Ichihara, Naoyuki
1
2021
Regularity of the \(m\)-symphonic map. Zbl 1464.58005
Misawa, Masashi; Nakauchi, Nobumitsu
1
2021
Analytical preconditioners for Neumann elastodynamic boundary element methods. Zbl 1464.65224
Chaillat, Stéphanie; Darbas, Marion; Le Louër, Frédérique
1
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.
1
2021
Uniform estimates for fractional operators. Zbl 1464.35176
Farwig, Reinhard; Tsuda, Kazuyuki
1
2021
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis. Zbl 1480.92033
Bretti, Gabriella; Gosse, Laurent
1
2021
Modal approximation for plasmonic resonators in the time domain: the scalar case. Zbl 07447720
Baldassari, Lorenzo; Millien, Pierre; Vanel, Alice L.
1
2021
Transport and continuity equations with (very) rough noise. Zbl 1479.35966
Bellingeri, C.; Djurdjevac, A.; Friz, P. K.; Tapia, N.
1
2021
Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method. Zbl 1480.35069
Barles, G.
1
2021
On vanishing and localizing around corners of electromagnetic transmission resonances. Zbl 1477.78003
Diao, Huaian; Liu, Hongyu; Wang, Xianchao; Yang, Ke
1
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
18
2020
Numerical continuation for a fast-reaction system and its cross-diffusion limit. Zbl 1451.35237
Kuehn, Christian; Soresina, Cinzia
5
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.
3
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
3
2020
Partial regularity of weak solutions and life-span of smooth solutions to a biological network formulation model. Zbl 1456.35062
Xu, Xiangsheng
3
2020
Normalized solutions for a class of nonlinear Choquard equations. Zbl 1459.35173
Bartsch, Thomas; Liu, Yanyan; Liu, Zhaoli
2
2020
Decay in the one dimensional generalized improved Boussinesq equation. Zbl 1451.35133
Maulén, Christopher; Muñoz, Claudio
1
2020
Characterization of harmonic functions by the behavior of means at a single point. Zbl 1460.31009
Estrada, Ricardo
1
2020
Hardy type inequalities with spherical derivatives. Zbl 1451.26021
Bez, Neal; Machihara, Shuji; Ozawa, Tohru
1
2020
Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity. Zbl 1455.35093
Sun, Dongdong; Zhang, Zhitao
1
2020
Asymptotic behavior for a class of derivative nonlinear Schrödinger systems. Zbl 1451.35187
Katayama, Soichiro; Sakoda, Daisuke
1
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
1
2020
Structure aware Runge-Kutta time stepping for spacetime tents. Zbl 1452.65232
Gopalakrishnan, Jay; Schöberl, Joachim; Wintersteiger, Christoph
1
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.
1
2020
Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms. Zbl 1455.35027
Bartsch, Thomas; Guo, Qianqiao
1
2020
Nontrivial solutions to non-local problems with sublinear or superlinear nonlinearities. Zbl 1458.35452
Han, Zhiqing; Xue, Ye
1
2020
The Brezis-Nirenberg type double critical problem for the Choquard equation. Zbl 1458.35196
Cai, Li; Zhang, Fubao
1
2020
Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term. Zbl 1456.35080
Giga, Yoshikazu; Požár, Norbert
1
2020
Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. Zbl 1458.35190
Silva, Kaye; Sousa, Steffânio M.
1
2020
Helmholtz’s decomposition for compressible flows and its application to computational aeroacoustics. Zbl 1457.76016
Schoder, Stefan; Roppert, Klaus; Kaltenbacher, Manfred
1
2020
Global existence of solutions to some equations modeling phase separation of self-propelled particles. Zbl 1462.35411
Bae, Hantaek
1
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
all top 5

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

Citations by Year