# zbMATH — the first resource for mathematics

## Brenner, Philip

Compute Distance To:
 Author ID: brenner.philip Published as: Brenner, P.; Brenner, Philip
 Documents Indexed: 33 Publications since 1966, including 4 Books Reviewing Activity: 17 Reviews
all top 5

#### Co-Authors

 20 single-authored 7 Thomée, Vidar 2 Kumlin, Peter 1 Arkeryd, Leif O. 1 Bergh, Jöran 1 Crouzeix, Michel 1 Pettersson, Rolf 1 Shreve, David C. 1 von Wahl, Wolf 1 Wahlbin, Lars B.
all top 5

#### Serials

 9 Mathematica Scandinavica 6 Mathematische Zeitschrift 4 SIAM Journal on Numerical Analysis 1 Arkiv för Matematik 1 Mathematics of Computation 1 Archiv der Mathematik 1 Journal of Differential Equations 1 RAIRO. Analyse Numérique 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Lecture Notes in Mathematics 1 Applied and Computational Mathematics
all top 5

#### Fields

 19 Partial differential equations (35-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 7 Numerical analysis (65-XX) 5 Operator theory (47-XX) 3 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX)

#### Citations contained in zbMATH

23 Publications have been cited 442 times in 347 Documents Cited by Year
On rational approximations of semigroups. Zbl 0413.41011
Brenner, Philip; Thomee, Vidar
1979
On $$L_2-L_{p'}$$ estimates for the wave-equation. Zbl 0321.35052
Brenner, Philip
1975
Besov spaces and applications to difference methods for initial value problems. Zbl 0294.35002
Brenner, Philip; Thomee, Vidar; Wahlbin, Lars B.
1975
Global classical solutions of nonlinear wave equations. Zbl 0457.35059
Brenner, Philip; Von Wahl, Wolf
1981
On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations. Zbl 0513.35066
Brenner, Philip
1985
On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations. Zbl 0524.35084
Brenner, Philip
1984
Single step methods for inhomogeneous linear differential equations in Banach space. Zbl 0477.65040
Brenner, Philip; Crouzeix, Michel; Thomee, Vidar
1982
The Cauchy problem for symmetric hyperbolic systems in $$L_ p$$. Zbl 0154.11304
Brenner, Philip
1966
Stability and convergence rates in $$L_ p$$ for certain difference schemes. Zbl 0208.16201
Brenner, P.; Thomée, V.
1970
On the existence of global smooth solutions of certain semi-linear hyperbolic equations. Zbl 0388.35048
Brenner, Philip
1979
$$L_p$$-$$L_{p'}$$-estimates for Fourier integral operators related to hyperbolic equations. Zbl 0325.35009
Brenner, Philip
1977
The Cauchy problem for systems in L$$_p$$ and L$${_p,\alpha}$$. Zbl 0256.35006
Brenner, Philip
1973
On space-time means and strong global solutions of nonlinear hyperbolic equations. Zbl 0705.35082
Brenner, Philip
1989
On wave equations with supercritical nonlinearities. Zbl 0971.35051
Brenner, Philip; Kumlin, Peter
2000
Estimates near discontinuities for some difference schemes. Zbl 0231.65074
Brenner, Philip; Thomee, Vidar
1971
On rational approximations of groups of operators. Zbl 0443.41013
Brenner, Philip; Thomee, Vidar
1980
On $$L_p$$-decay and scattering for nonlinear Klein-Gordon equations. Zbl 0517.35011
Brenner, Philip
1982
$$L_p$$-estimates of difference schemes for strictly hyperbolic systems with nonsmooth data. Zbl 0372.65037
Brenner, Philip
1977
Maximum-norm estimates of the rate of convergence of dissipative difference schemes for strictly hyperbolic systems. Zbl 0316.65018
Brenner, Philip
1975
Power bounded matrices of Fourier-Stieltjes transforms. Zbl 0174.16502
Brenner, Philip
1968
Improving the treatment of near-wall regions for multiple-correction $$k$$-exact schemes. Zbl 1410.76251
Menasria, A.; Brenner, P.; Cinnella, P.
2019
On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations. Zbl 0546.35066
Brenner, Philip
1983
Initial value problems in $$L_p$$ for systems with variable coefficients. Zbl 0241.35066
Brenner, Philip
1972
Improving the treatment of near-wall regions for multiple-correction $$k$$-exact schemes. Zbl 1410.76251
Menasria, A.; Brenner, P.; Cinnella, P.
2019
On wave equations with supercritical nonlinearities. Zbl 0971.35051
Brenner, Philip; Kumlin, Peter
2000
On space-time means and strong global solutions of nonlinear hyperbolic equations. Zbl 0705.35082
Brenner, Philip
1989
On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations. Zbl 0513.35066
Brenner, Philip
1985
On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations. Zbl 0524.35084
Brenner, Philip
1984
On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations. Zbl 0546.35066
Brenner, Philip
1983
Single step methods for inhomogeneous linear differential equations in Banach space. Zbl 0477.65040
Brenner, Philip; Crouzeix, Michel; Thomee, Vidar
1982
On $$L_p$$-decay and scattering for nonlinear Klein-Gordon equations. Zbl 0517.35011
Brenner, Philip
1982
Global classical solutions of nonlinear wave equations. Zbl 0457.35059
Brenner, Philip; Von Wahl, Wolf
1981
On rational approximations of groups of operators. Zbl 0443.41013
Brenner, Philip; Thomee, Vidar
1980
On rational approximations of semigroups. Zbl 0413.41011
Brenner, Philip; Thomee, Vidar
1979
On the existence of global smooth solutions of certain semi-linear hyperbolic equations. Zbl 0388.35048
Brenner, Philip
1979
$$L_p$$-$$L_{p'}$$-estimates for Fourier integral operators related to hyperbolic equations. Zbl 0325.35009
Brenner, Philip
1977
$$L_p$$-estimates of difference schemes for strictly hyperbolic systems with nonsmooth data. Zbl 0372.65037
Brenner, Philip
1977
On $$L_2-L_{p'}$$ estimates for the wave-equation. Zbl 0321.35052
Brenner, Philip
1975
Besov spaces and applications to difference methods for initial value problems. Zbl 0294.35002
Brenner, Philip; Thomee, Vidar; Wahlbin, Lars B.
1975
Maximum-norm estimates of the rate of convergence of dissipative difference schemes for strictly hyperbolic systems. Zbl 0316.65018
Brenner, Philip
1975
The Cauchy problem for systems in L$$_p$$ and L$${_p,\alpha}$$. Zbl 0256.35006
Brenner, Philip
1973
Initial value problems in $$L_p$$ for systems with variable coefficients. Zbl 0241.35066
Brenner, Philip
1972
Estimates near discontinuities for some difference schemes. Zbl 0231.65074
Brenner, Philip; Thomee, Vidar
1971
Stability and convergence rates in $$L_ p$$ for certain difference schemes. Zbl 0208.16201
Brenner, P.; Thomée, V.
1970
Power bounded matrices of Fourier-Stieltjes transforms. Zbl 0174.16502
Brenner, Philip
1968
The Cauchy problem for symmetric hyperbolic systems in $$L_ p$$. Zbl 0154.11304
Brenner, Philip
1966
all top 5

#### Cited by 385 Authors

 10 Yagdjian, Karen 8 Brenner, Philip 8 Ginibre, Jean 8 Palencia, Cesar 8 Velo, Giorgio 7 Hayashi, Nakao 7 Nakanishi, Kenji 6 Galstian, Anahit 6 Pecher, Hartmut 6 Tataru, Daniel 6 Thomée, Vidar 5 Alonso-Mallo, Isaías 5 Crouzeix, Michel 5 Hundsdorfer, Willem H. 5 Kovács, Mihály 5 Miao, Changxing 5 Neubrander, Frank 5 Spijker, Marc N. 5 Wang, Baoxiang 5 Ye, Yaojun 4 Bakaev, Nikolai Yu. 4 Lubich, Christian 4 Naumkin, Pavel Ivanovich 4 Ozawa, Tohru 3 Ashyralyev, Allaberen 3 Cano, Begoña 3 Estep, Donald J. 3 Frid, Hermano 3 Georgiev, Vladimir S. 3 Gomilko, Alexandre M. 3 Grobbelaar-Van Dalsen, Marié 3 Ignat, Liviu I. 3 Jara, Patricio 3 Jefferies, Brian R. F. 3 Jorge, Juan Carlos 3 Keyfitz, Barbara Lee 3 Kopylova, Elena A. 3 Larsson, Stig 3 Nakamura, Makoto 3 Ostermann, Alexander 3 Piskarëv, S. I. 3 Reissig, Michael 3 Ricker, Werner Joseph 3 Sanz-Serna, Jesús María 3 Sasaki, Hironobu 3 Sugimoto, Mitsuru 3 Tomilov, Yuri 3 Verwer, Jan G. 3 Widlund, Olof B. 3 Wirth, Jens 3 Zhang, Junyong 3 Zheng, Jiqiang 3 Zheng, Quan 2 Abadias, Luciano 2 Akrivis, Georgios D. 2 Boussaid, Nabile 2 Butzer, Paul Leo 2 Calvo, M. P. 2 Chen, Shuhong 2 Dickmeis, Werner 2 Dos Santos Ferreira, David 2 Glassey, Robert T. 2 Görlich, Ernst 2 Guo, Weichao 2 Guo, Zihua 2 Hari, Lysianne 2 Hoppe, Ronald H. W. 2 Ibrahim, Slim 2 Ichinose, Takashi 2 Inui, Takahisa 2 Kapitanskiĭ, L. V. 2 Khaliq, Abdul Q. M. 2 Komech, Aleksandr I. 2 Kumlin, Peter 2 Lenferink, H. W. J. 2 Liu, Changying 2 Lu, Jing 2 Machihara, Shuji 2 Majdoub, Mohamed 2 Masaki, Satoshi 2 Masmoudi, Nader 2 McAllister, Sarah 2 Metcalfe, Jason L. 2 Miana, Pedro J. 2 Nessel, Rolf Joachim 2 Özer, Koray 2 Pontzen, Dieter 2 Rauch, Jeffrey B. 2 Seeger, Andreas 2 Segata, Jun-ichi 2 Shlekis, P. P. 2 Stavrakakis, Nikolaos M. 2 Strichartz, Robert S. 2 Struwe, Michael 2 Takeda, Hiroshi 2 Tohaneanu, Mihai 2 Tsutsumi, Masayoshi 2 Visciglia, Nicola 2 Wada, Takeshi 2 Wu, Xinyuan ...and 285 more Authors
all top 5

#### Cited in 108 Serials

 23 Journal of Differential Equations 19 Mathematics of Computation 18 Journal of Mathematical Analysis and Applications 17 Journal of Functional Analysis 17 Communications in Partial Differential Equations 16 Applied Numerical Mathematics 13 Mathematische Zeitschrift 12 Numerische Mathematik 10 BIT 9 Transactions of the American Mathematical Society 8 Applicable Analysis 8 Journal of Computational Physics 7 Communications in Mathematical Physics 6 Duke Mathematical Journal 5 Journal of Mathematical Physics 5 Mathematical Methods in the Applied Sciences 4 Proceedings of the American Mathematical Society 4 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Journal of Approximation Theory 3 Journal of Computational and Applied Mathematics 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerical Functional Analysis and Optimization 3 Tohoku Mathematical Journal. Second Series 3 Journal of Scientific Computing 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Chinese Science Bulletin 3 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin of the Australian Mathematical Society 2 Lithuanian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Computing 2 Integral Equations and Operator Theory 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Semigroup Forum 2 SIAM Journal on Numerical Analysis 2 Tokyo Journal of Mathematics 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Numerical Methods for Partial Differential Equations 2 Journal of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Acta Mathematica Sinica. New Series 2 Discrete and Continuous Dynamical Systems 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 Advances in Difference Equations 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Nonlinearity 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Boletim da Sociedade Brasileira de Matemática 1 Czechoslovak Mathematical Journal 1 Osaka Journal of Mathematics 1 RAIRO. Analyse Numérique 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Zeitschrift für Analysis und ihre Anwendungen 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Statistics 1 Applied Mathematics Letters 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Mathematical Finance 1 Journal of Inequalities and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Portugaliae Mathematica. Nova Série 1 Journal of Applied Mathematics and Computing 1 Journal of the Institute of Mathematics of Jussieu ...and 8 more Serials
all top 5

#### Cited in 37 Fields

 264 Partial differential equations (35-XX) 114 Numerical analysis (65-XX) 56 Operator theory (47-XX) 38 Ordinary differential equations (34-XX) 29 Functional analysis (46-XX) 27 Quantum theory (81-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Fluid mechanics (76-XX) 8 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 7 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 3 Differential geometry (53-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX)