Edit Profile Weinberger, Hans Felix Compute Distance To: Compute Author ID: weinberger.hans-f Published as: Weinberger, H.; Weinberger, H. F.; Weinberger, Hans; Weinberger, Hans F.; Weinberger, Hans W. External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 121 Publications since 1952, including 6 Books Biographic References: 1 Publication all top 5 Co-Authors 60 single-authored 12 Payne, Lawrence Edward 5 Aronson, Donald G. 5 Lewis, Mark Alun 5 Li, Bingtuan 5 Protter, Murray H. 4 Serrin, James 3 Gilbarg, David 3 Kawasaki, Kohkichi 3 Ninomiya, Hirokazu 3 Shigesada, Nanako 2 Duffin, Richard James 2 Levine, Howard Allen 2 Pólya, George 2 Sattinger, David H. 2 Schneider, Hans 1 Acrivos, Andreas 1 Cesari, Lamberto 1 Conley, Elizabeth 1 Davis, Chandler 1 Diaz, Joaquin Basilio 1 Farina, Alberto 1 Fosdick, Roger L. 1 Freidlin, Mark I. 1 Friedman, Avner 1 Golomb, Michael 1 Hershkowitz, Daniel 1 Hess, Peter 1 Huang, Wenchao 1 Hurwicz, Leonid 1 Kahan, William Morton 1 Kannan, Rangachary 1 Keller, Joseph Bishop 1 Kishimoto, Kazuo 1 Leoni, Giovanni 1 Levine, Howard P. 1 Littman, Walter 1 Ludwig, Donald 1 Markus, Lawrence 1 McLeod, John Bryce 1 McLeod, Kevin 1 Meyers, Norman 1 Nir, Avinoam 1 Peletier, Lambertus Adrianus 1 Rosenblat, S. 1 Royer-Carfagni, Gianni F. 1 Sell, George Roger 1 Stack, Martha 1 Stampacchia, Guido 1 Sucha, Janet 1 Tesei, Alberto 1 Vazquez, Juan Luis 1 Zhao, Xiao-Qiang all top 5 Serials 10 Journal of Mathematical Biology 5 Archive for Rational Mechanics and Analysis 4 Pacific Journal of Mathematics 4 Journal of Mathematics and Physics 3 Journal of Differential Equations 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 Meccanica 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Linear Algebra and its Applications 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Journal of the Society for Industrial & Applied Mathematics 2 Journal of Research of the National Bureau of Standards 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Journal of Economic Theory 1 Quarterly of Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Matrix Analysis and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Nova Journal of Mathematics, Game Theory, and Algebra 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Biosciences and Engineering 1 Rendiconti di Matematica, VI. Serie 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Translations. Series 2. American Mathematical Society 1 Journal of Rational Mechanics and Analysis 1 Evolution Equations and Control Theory all top 5 Fields 39 Partial differential equations (35-XX) 23 Biology and other natural sciences (92-XX) 11 Mechanics of deformable solids (74-XX) 8 Fluid mechanics (76-XX) 7 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 6,189 times in 4,769 Documents Cited by ▼ Year ▼ Maximum-principles in different equations. Zbl 0153.13602Protter, M. H.; Weinberger, H. F. 1,283 1967 Multidimensional nonlinear diffusion arising in population genetics. Zbl 0407.92014Aronson, D. G.; Weinberger, H. F. 697 1978 Maximum principles in differential equations. Corr. reprint. Zbl 0549.35002Protter, Murray H.; Weinberger, Hans F. 545 1984 Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. Zbl 0325.35050Aronson, D. G.; Weinberger, H. F. 474 1975 Long-time behavior of a class of biological models. Zbl 0529.92010Weinberger, H. F. 266 1982 Regular points for elliptic equations with discontinuous coefficients. Zbl 0116.30302Littman, W.; Stampacchia, G.; Weinberger, H. F. 259 1963 An optimal Poincaré inequality for convex domains. Zbl 0099.08402Payne, L. E.; Weinberger, H. F. 225 1960 On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036Weinberger, Hans F. 200 2002 Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 151 2002 Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F. 132 2002 Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A. 127 2005 On the ratio of consecutive eigenvalues. Zbl 0073.08203Payne, Laurent E.; Pólya, George; Weinberger, Hans F. 112 1956 Remark on the preceding paper of Serrin. Zbl 0222.31008Weinberger, H. F. 111 1971 Variational methods for eigenvalue approximation. Zbl 0296.49033Weinberger, Hans F. 106 1974 A first course in partial differential equations with complex variables and transform methods. Zbl 0127.04805Weinberger, H. F. 95 1965 The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains. Zbl 0599.35080Kishimoto, Kazuo; Weinberger, Hans F. 88 1985 Norm-preserving dilations and their applications to optimal error bounds. Zbl 0491.47003Davis, Chandler; Kahan, W. M.; Weinberger, H. F. 86 1982 Invariant sets for weakly coupled parabolic and elliptic systems. Zbl 0312.35043Weinberger, Hans F. 80 1975 Spatial patterning of the spruce budworm. Zbl 0412.92020Ludwig, D.; Aronson, D. G.; Weinberger, H. F. 76 1979 An isoperimetric inequality for the \(n\)-dimensional free membrane problem. Zbl 0071.09902Weinberger, H. F. 74 1956 Optimal approximation and error bounds. Zbl 0092.05802Golomb, Michael; Weinberger, Hans F. 60 1959 Existence of traveling waves for integral recursions with nonmonotone growth functions. Zbl 1162.92030Li, Bingtuan; Lewis, Mark A.; Weinberger, Hans F. 59 2009 Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral. Zbl 0381.35067Gilbarg, D.; Weinberger, H. F. 54 1978 New bounds for solutions of second order elliptic partial differential equations. Zbl 0093.10901Payne, L. E.; Weinberger, H. F. 54 1958 On the spectrum of general second order operators. Zbl 0141.09901Protter, M. H.; Weinberger, H. F. 52 1966 Anomalous spreading speeds of cooperative recursion systems. Zbl 1125.92062Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 36 2007 Some isoperimetric inequalities for membrane frequencies and torsional rigidity. Zbl 0098.39201Payne, L. E.; Weinberger, H. F. 34 1961 On Korn’s inequality. Zbl 0107.31105Payne, L. E.; Weinberger, H. F. 30 1961 Lower bounds for vibration frequencies of elastically supportes membranes and plates. Zbl 0083.19406Payne, L. E.; Weinberger, H. F. 30 1957 Sur le quotient de deux fréquences propres consécutives. Zbl 0065.08801Payne, Laurent E.; Pólya, George; Weinberger, Hans F. 30 1955 Symmetrization in uniformly elliptic problems. Zbl 0123.07202Weinberger, H. F. 29 1962 Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. Zbl 1141.92041Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako 27 2008 Asymptotic behavior of a model in population genetics. Zbl 0383.35034Weinberger, H. F. 27 1978 Lower bounds for higher eigenvalues by finite difference methods. Zbl 0084.34802Weinberger, H. F. 27 1958 Asymptotic properties of Leray’s solution of the stationary two- dimensional Navier-Stokes equations. Zbl 0304.35071Gilbarg, D.; Weinberger, H. F. 26 1974 Isolated singularities of solutions of linear elliptic equations. Zbl 0137.07001Serrin, J.; Weinberger, H. F. 25 1966 New bounds in harmonic and biharmonic problems. Zbl 0064.09903Payne, L. E.; Weinberger, H. F. 24 1955 A solution of the singular initial value problem for the Euler-Poisson- Darboux equation. Zbl 0052.32401Diaz, J. B.; Weinberger, H. F. 23 1953 Upper and lower bounds for eigenvalues by finite difference methods. Zbl 0070.35203Weinberger, H. 22 1956 Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses. Zbl 0735.35017Hess, P.; Weinberger, H. 20 1990 Inequalities between Dirichlet and Neumann eigenvalues. Zbl 0608.35047Levine, Howard A.; Weinberger, Hans F. 20 1986 Error bounds in the Rayleigh-Ritz approximation of eigenvectors. Zbl 0092.32602Weinberger, H. F. 20 1960 On the stability of bifurcating solutions. Zbl 0466.58017Weinberger, H. F. 16 1978 Variational properties of steady fall in Stokes flow. Zbl 0245.76023Weinberger, H. F. 16 1972 A maximum principle and gradient bounds for linear elliptic equations. Zbl 0276.35030Protter, M. H.; Weinberger, H. F. 15 1973 Note on a lemma of Finn and Gilbar. Zbl 0078.40002Payne, L. E.; Weinberger, H. F. 15 1957 An example of blowup produced by equal diffusions. Zbl 0926.35051Weinberger, Hans F. 13 1999 On a nonlinear eigenvalue problem. Zbl 0162.45801Weinberger, H. F. 13 1968 A density-dependent diffusion system with stable discontinuous stationary solutions. Zbl 0673.35054Aronson, D. G.; Tesei, A.; Weinberger, H. 12 1988 A Faber-Krahn inequality for wedge-like membranes. Zbl 0099.18701Payne, L. E.; Weinberger, H. F. 12 1960 Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity. Zbl 0726.35009Weinberger, H. F. 10 1990 A maximum property of Cauchy’s problem. Zbl 0072.10003Weinberger, H. F. 10 1956 On sufficient conditions for a linearly determinate spreading speed. Zbl 1250.35125Weinberger, Hans 9 2012 An extension of the formula for spreading speeds. Zbl 1202.92080Weinberger, Hans F.; Zhao, Xiao-Qiang 8 2010 Spreading speeds for a partially cooperative 2-species reaction-diffusion model. Zbl 1369.35031Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako 8 2009 Error bounds in finite-difference approximation to solutions of symmetric hyperbolic systems. Zbl 0092.32704Weinberger, H. F. 7 1959 On the steady fall of a body in a Navier-Stokes fluid. Zbl 0264.76025Weinberger, H. F. 6 1973 Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis. Zbl 1339.92075Shigesada, Nanako; Kawasaki, Kohkichi; Weinberger, Hans F. 5 2015 Exchange of stability in Couette flow. Zbl 0202.26702Weinberger, H. F. 5 1969 A variational computation method for forced-vibration problems. Zbl 0089.08402Weinberger, H. F. 5 1958 Error estimation in the Weinstein method for eigenvalues. Zbl 0047.11203Weinberger, H. F. 5 1952 Necessary conditions for the optimality of an extrusion die for a rigid-plastic material. Zbl 1062.74007Weinberger, Hans F. 4 2003 Some remarks on invariant sets for systems. Zbl 0676.35006Weinberger, H. F. 4 1988 Asymptotic properties of Leray’s solutions of the stationary two- dimensional Navier-Stokes equations. Zbl 0299.35081Gilbarg, D.; Weinberger, H. F. 4 1974 On optimal numerical solution of partial differential equations. Zbl 0271.65055Weinberger, H. F. 4 1972 An effectless cutting of a vibrating membrane. Zbl 0148.35903Weinberger, H. F. 4 1963 Optimal approximation for functions prescribed at equally spaced points. Zbl 0168.14901Weinberger, H. F. 4 1961 An inequality with alternating signs. Zbl 0047.05304Weinberger, H. F. 4 1952 Pest control may make the pest population explode. Zbl 1048.34086Ninomiya, H.; Weinberger, H. F. 3 2003 On dualizing a multivariable Poisson summation formula. Zbl 0892.42002Duffin, Richard J.; Weinberger, Hans F. 3 1997 Boundary and initial boundary-value problems for separable backward-forward parabolic problems. Zbl 0881.35051Keller, Joseph B.; Weinberger, Hans F. 3 1997 Approximability by weighted norms of the structured and volumetric singular values of a class of nonnegative matrices. Zbl 0879.15016Hershkowitz, Daniel; Huang, Wenchao; Schneider, Hans; Weinberger, Hans 3 1997 On a backward-forward parabolic equation and its regularization. Zbl 0780.35065Freidlin, Mark; Weinberger, Hans 3 1993 Dualizing the Poisson summation formula. Zbl 0771.42001Duffin, Richard J.; Weinberger, Hans F. 3 1991 A maximum principle and gradient bounds for linear elliptic equations. Zbl 0253.35027Protter, M. H.; Weinberger, H. F. 3 1973 A maximum property of Cauchy’s problem in three-dimensional space-time. Zbl 0178.45203Weinberger, H. F. 3 1961 Remarks on the preceding paper of Lax. Zbl 0086.01604Weinberger, H. F. 3 1958 Some remarks on good, simple, and optimal quadrature formulas. Zbl 0456.65008Weinberger, H. F. 2 1978 Variational inequalities for a body in a viscous shearing flow. Zbl 0316.76017Nir, A.; Weinberger, H. F.; Acrivos, A. 2 1975 A posteriori error bounds in iterative matrix inversion. Zbl 0146.13405Weinberger, H. F. 2 1966 Bounds for solutions of second order elliptic equations in terms of arbitrary vector fields. Zbl 0135.15401Payne, L. E.; Weinberger, H. F. 2 1965 Remark on a paper of O. G. Owens. Zbl 0080.05305Payne, L. E.; Weinberger, H. F. 2 1957 An extension of the classical Sturm-Liouville theory. Zbl 0064.08503Weinberger, H. F. 2 1955 On \(p\)-homogeneous systems of differential equations and their linear perturbations. Zbl 1124.34032Ninomiya, Hirokazu; Weinberger, Hans F. 1 2006 On optimal extrusion dies for rigid-plastic materials. Zbl 0977.74049Weinberger, Hans F. 1 1998 On matrices for which norm bounds are attained. Zbl 0934.15032Schneider, Hans; Weinberger, Hans F. 1 1998 On the nonexistence of certain ideal forming operations for extrusion and drawing dies. Zbl 0977.74562Weinberger, Hans F. 1 1997 A note on the optimal state of a binary solid mixture in a stressed elastic bar. Zbl 0888.73024Fosdick, Roger; Royer-Carfagni, Gianni F.; Weinberger, Hans F. 1 1996 Degenerate elliptic models for perfectly plastic flows. Zbl 0866.73017Weinberger, H. F. 1 1995 A necessary condition for decentralization and an application to intertemporal allocation. Zbl 0712.90013Hurwicz, Leonid; Weinberger, Hans F. 1 1990 Long-time behaviour of a class of biological models. Zbl 0554.92006Weinberger, H. F. 1 1984 A simple system with a continuum of stable inhomogeneous steady states. Zbl 0533.35053Weinberger, H. F. 1 1983 Asymptotic behavior of a class of discrete-time models in population genetics. Zbl 0452.92017Weinberger, H. F. 1 1979 Optimal shapes for brittle beams under torsion. Zbl 0425.73046Weinberger, H. F.; Serrin, J. B. 1 1978 Curvature inequalities for surfaces over a disk. Zbl 0327.53002Serrin, James; Weinberger, Hans F. 1 1976 Exchange of stability in Couette flow. Zbl 0288.76020Weinberger, H. F. 1 1974 On bounding harmonic functions by linear interpolation. Zbl 0124.05402Weinberger, H. F. 1 1964 Sur les solutions fortes du problème de Tricomi. Zbl 0055.08501Weinberger, Hans F. 1 1954 Upper and lower bounds for torsional rigidity. Zbl 0051.41203Weinberger, H. F. 1 1953 Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis. Zbl 1339.92075Shigesada, Nanako; Kawasaki, Kohkichi; Weinberger, Hans F. 5 2015 On sufficient conditions for a linearly determinate spreading speed. Zbl 1250.35125Weinberger, Hans 9 2012 An extension of the formula for spreading speeds. Zbl 1202.92080Weinberger, Hans F.; Zhao, Xiao-Qiang 8 2010 Existence of traveling waves for integral recursions with nonmonotone growth functions. Zbl 1162.92030Li, Bingtuan; Lewis, Mark A.; Weinberger, Hans F. 59 2009 Spreading speeds for a partially cooperative 2-species reaction-diffusion model. Zbl 1369.35031Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako 8 2009 Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. Zbl 1141.92041Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako 27 2008 Anomalous spreading speeds of cooperative recursion systems. Zbl 1125.92062Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 36 2007 On \(p\)-homogeneous systems of differential equations and their linear perturbations. Zbl 1124.34032Ninomiya, Hirokazu; Weinberger, Hans F. 1 2006 Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A. 127 2005 Necessary conditions for the optimality of an extrusion die for a rigid-plastic material. Zbl 1062.74007Weinberger, Hans F. 4 2003 Pest control may make the pest population explode. Zbl 1048.34086Ninomiya, H.; Weinberger, H. F. 3 2003 On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036Weinberger, Hans F. 200 2002 Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 151 2002 Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F. 132 2002 An example of blowup produced by equal diffusions. Zbl 0926.35051Weinberger, Hans F. 13 1999 On optimal extrusion dies for rigid-plastic materials. Zbl 0977.74049Weinberger, Hans F. 1 1998 On matrices for which norm bounds are attained. Zbl 0934.15032Schneider, Hans; Weinberger, Hans F. 1 1998 On dualizing a multivariable Poisson summation formula. Zbl 0892.42002Duffin, Richard J.; Weinberger, Hans F. 3 1997 Boundary and initial boundary-value problems for separable backward-forward parabolic problems. Zbl 0881.35051Keller, Joseph B.; Weinberger, Hans F. 3 1997 Approximability by weighted norms of the structured and volumetric singular values of a class of nonnegative matrices. Zbl 0879.15016Hershkowitz, Daniel; Huang, Wenchao; Schneider, Hans; Weinberger, Hans 3 1997 On the nonexistence of certain ideal forming operations for extrusion and drawing dies. Zbl 0977.74562Weinberger, Hans F. 1 1997 A note on the optimal state of a binary solid mixture in a stressed elastic bar. Zbl 0888.73024Fosdick, Roger; Royer-Carfagni, Gianni F.; Weinberger, Hans F. 1 1996 Degenerate elliptic models for perfectly plastic flows. Zbl 0866.73017Weinberger, H. F. 1 1995 On a backward-forward parabolic equation and its regularization. Zbl 0780.35065Freidlin, Mark; Weinberger, Hans 3 1993 Dualizing the Poisson summation formula. Zbl 0771.42001Duffin, Richard J.; Weinberger, Hans F. 3 1991 Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses. Zbl 0735.35017Hess, P.; Weinberger, H. 20 1990 Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity. Zbl 0726.35009Weinberger, H. F. 10 1990 A necessary condition for decentralization and an application to intertemporal allocation. Zbl 0712.90013Hurwicz, Leonid; Weinberger, Hans F. 1 1990 A density-dependent diffusion system with stable discontinuous stationary solutions. Zbl 0673.35054Aronson, D. G.; Tesei, A.; Weinberger, H. 12 1988 Some remarks on invariant sets for systems. Zbl 0676.35006Weinberger, H. F. 4 1988 Inequalities between Dirichlet and Neumann eigenvalues. Zbl 0608.35047Levine, Howard A.; Weinberger, Hans F. 20 1986 The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains. Zbl 0599.35080Kishimoto, Kazuo; Weinberger, Hans F. 88 1985 Maximum principles in differential equations. Corr. reprint. Zbl 0549.35002Protter, Murray H.; Weinberger, Hans F. 545 1984 Long-time behaviour of a class of biological models. Zbl 0554.92006Weinberger, H. F. 1 1984 A simple system with a continuum of stable inhomogeneous steady states. Zbl 0533.35053Weinberger, H. F. 1 1983 Long-time behavior of a class of biological models. Zbl 0529.92010Weinberger, H. F. 266 1982 Norm-preserving dilations and their applications to optimal error bounds. Zbl 0491.47003Davis, Chandler; Kahan, W. M.; Weinberger, H. F. 86 1982 Spatial patterning of the spruce budworm. Zbl 0412.92020Ludwig, D.; Aronson, D. G.; Weinberger, H. F. 76 1979 Asymptotic behavior of a class of discrete-time models in population genetics. Zbl 0452.92017Weinberger, H. F. 1 1979 Multidimensional nonlinear diffusion arising in population genetics. Zbl 0407.92014Aronson, D. G.; Weinberger, H. F. 697 1978 Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral. Zbl 0381.35067Gilbarg, D.; Weinberger, H. F. 54 1978 Asymptotic behavior of a model in population genetics. Zbl 0383.35034Weinberger, H. F. 27 1978 On the stability of bifurcating solutions. Zbl 0466.58017Weinberger, H. F. 16 1978 Some remarks on good, simple, and optimal quadrature formulas. Zbl 0456.65008Weinberger, H. F. 2 1978 Optimal shapes for brittle beams under torsion. Zbl 0425.73046Weinberger, H. F.; Serrin, J. B. 1 1978 Curvature inequalities for surfaces over a disk. Zbl 0327.53002Serrin, James; Weinberger, Hans F. 1 1976 Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. Zbl 0325.35050Aronson, D. G.; Weinberger, H. F. 474 1975 Invariant sets for weakly coupled parabolic and elliptic systems. Zbl 0312.35043Weinberger, Hans F. 80 1975 Variational inequalities for a body in a viscous shearing flow. Zbl 0316.76017Nir, A.; Weinberger, H. F.; Acrivos, A. 2 1975 Variational methods for eigenvalue approximation. Zbl 0296.49033Weinberger, Hans F. 106 1974 Asymptotic properties of Leray’s solution of the stationary two- dimensional Navier-Stokes equations. Zbl 0304.35071Gilbarg, D.; Weinberger, H. F. 26 1974 Asymptotic properties of Leray’s solutions of the stationary two- dimensional Navier-Stokes equations. Zbl 0299.35081Gilbarg, D.; Weinberger, H. F. 4 1974 Exchange of stability in Couette flow. Zbl 0288.76020Weinberger, H. F. 1 1974 A maximum principle and gradient bounds for linear elliptic equations. Zbl 0276.35030Protter, M. H.; Weinberger, H. F. 15 1973 On the steady fall of a body in a Navier-Stokes fluid. Zbl 0264.76025Weinberger, H. F. 6 1973 A maximum principle and gradient bounds for linear elliptic equations. Zbl 0253.35027Protter, M. H.; Weinberger, H. F. 3 1973 Variational properties of steady fall in Stokes flow. Zbl 0245.76023Weinberger, H. F. 16 1972 On optimal numerical solution of partial differential equations. Zbl 0271.65055Weinberger, H. F. 4 1972 Remark on the preceding paper of Serrin. Zbl 0222.31008Weinberger, H. F. 111 1971 Exchange of stability in Couette flow. Zbl 0202.26702Weinberger, H. F. 5 1969 On a nonlinear eigenvalue problem. Zbl 0162.45801Weinberger, H. F. 13 1968 Maximum-principles in different equations. Zbl 0153.13602Protter, M. H.; Weinberger, H. F. 1,283 1967 On the spectrum of general second order operators. Zbl 0141.09901Protter, M. H.; Weinberger, H. F. 52 1966 Isolated singularities of solutions of linear elliptic equations. Zbl 0137.07001Serrin, J.; Weinberger, H. F. 25 1966 A posteriori error bounds in iterative matrix inversion. Zbl 0146.13405Weinberger, H. F. 2 1966 A first course in partial differential equations with complex variables and transform methods. Zbl 0127.04805Weinberger, H. F. 95 1965 Bounds for solutions of second order elliptic equations in terms of arbitrary vector fields. Zbl 0135.15401Payne, L. E.; Weinberger, H. F. 2 1965 On bounding harmonic functions by linear interpolation. Zbl 0124.05402Weinberger, H. F. 1 1964 Regular points for elliptic equations with discontinuous coefficients. Zbl 0116.30302Littman, W.; Stampacchia, G.; Weinberger, H. F. 259 1963 An effectless cutting of a vibrating membrane. Zbl 0148.35903Weinberger, H. F. 4 1963 Symmetrization in uniformly elliptic problems. Zbl 0123.07202Weinberger, H. F. 29 1962 Some isoperimetric inequalities for membrane frequencies and torsional rigidity. Zbl 0098.39201Payne, L. E.; Weinberger, H. F. 34 1961 On Korn’s inequality. Zbl 0107.31105Payne, L. E.; Weinberger, H. F. 30 1961 Optimal approximation for functions prescribed at equally spaced points. Zbl 0168.14901Weinberger, H. F. 4 1961 A maximum property of Cauchy’s problem in three-dimensional space-time. Zbl 0178.45203Weinberger, H. F. 3 1961 An optimal Poincaré inequality for convex domains. Zbl 0099.08402Payne, L. E.; Weinberger, H. F. 225 1960 Error bounds in the Rayleigh-Ritz approximation of eigenvectors. Zbl 0092.32602Weinberger, H. F. 20 1960 A Faber-Krahn inequality for wedge-like membranes. Zbl 0099.18701Payne, L. E.; Weinberger, H. F. 12 1960 Optimal approximation and error bounds. Zbl 0092.05802Golomb, Michael; Weinberger, Hans F. 60 1959 Error bounds in finite-difference approximation to solutions of symmetric hyperbolic systems. Zbl 0092.32704Weinberger, H. F. 7 1959 New bounds for solutions of second order elliptic partial differential equations. Zbl 0093.10901Payne, L. E.; Weinberger, H. F. 54 1958 Lower bounds for higher eigenvalues by finite difference methods. Zbl 0084.34802Weinberger, H. F. 27 1958 A variational computation method for forced-vibration problems. Zbl 0089.08402Weinberger, H. F. 5 1958 Remarks on the preceding paper of Lax. Zbl 0086.01604Weinberger, H. F. 3 1958 Lower bounds for vibration frequencies of elastically supportes membranes and plates. Zbl 0083.19406Payne, L. E.; Weinberger, H. F. 30 1957 Note on a lemma of Finn and Gilbar. Zbl 0078.40002Payne, L. E.; Weinberger, H. F. 15 1957 Remark on a paper of O. G. Owens. Zbl 0080.05305Payne, L. E.; Weinberger, H. F. 2 1957 On the ratio of consecutive eigenvalues. Zbl 0073.08203Payne, Laurent E.; Pólya, George; Weinberger, Hans F. 112 1956 An isoperimetric inequality for the \(n\)-dimensional free membrane problem. Zbl 0071.09902Weinberger, H. F. 74 1956 Upper and lower bounds for eigenvalues by finite difference methods. Zbl 0070.35203Weinberger, H. 22 1956 A maximum property of Cauchy’s problem. Zbl 0072.10003Weinberger, H. F. 10 1956 Sur le quotient de deux fréquences propres consécutives. Zbl 0065.08801Payne, Laurent E.; Pólya, George; Weinberger, Hans F. 30 1955 New bounds in harmonic and biharmonic problems. Zbl 0064.09903Payne, L. E.; Weinberger, H. F. 24 1955 An extension of the classical Sturm-Liouville theory. Zbl 0064.08503Weinberger, H. F. 2 1955 Sur les solutions fortes du problème de Tricomi. Zbl 0055.08501Weinberger, Hans F. 1 1954 A solution of the singular initial value problem for the Euler-Poisson- Darboux equation. Zbl 0052.32401Diaz, J. B.; Weinberger, H. F. 23 1953 Upper and lower bounds for torsional rigidity. Zbl 0051.41203Weinberger, H. F. 1 1953 Error estimation in the Weinstein method for eigenvalues. Zbl 0047.11203Weinberger, H. F. 5 1952 An inequality with alternating signs. Zbl 0047.05304Weinberger, H. F. 4 1952 all cited Publications top 5 cited Publications all top 5 Cited by 4,844 Authors 45 Hamel, François 44 Payne, Lawrence Edward 42 Shen, Wenxian 40 Li, Wan-Tong 35 Zhao, Xiao-Qiang 34 Berestycki, Henri 30 Lin, Guo 29 Lou, Yuan 27 Wang, Feng-Bin 25 Du, Yihong 25 Guo, Jong-Shenq 25 Pao, Chia-Ven 25 Roquejoffre, Jean-Michel 23 Cosner, Chris 23 Lutscher, Frithjof 23 Weinberger, Hans Felix 21 Lewis, Mark Alun 21 Rossi, Luca 20 Bandle, Catherine 20 Li, Bingtuan 20 Vohralík, Martin 20 Wang, Zhi Cheng 19 Matano, Hiroshi 19 Weng, Peixuan 18 Chen, Xinfu 18 Cheng, Qingming 18 Liang, Xing 18 Pan, Shuxia 18 Ruan, Shigui 18 Schaefer, Philip W. 18 Zou, Xingfu 17 Benguria, Rafael D. 17 Lin, Zhigui 17 Nadin, Grégoire 17 Philippin, Gérard A. 16 Maz’ya, Vladimir Gilelevich 16 Wang, Mingxin 16 Wang, Zhi Cheng 16 Wu, Shiliang 15 Ou, Chunhua 15 Qi, Yuanwei 15 Roques, Lionel J. 14 Ashbaugh, Mark S. 14 Cantrell, Robert Stephen 14 Dancer, Edward Norman 14 Ducrot, Arnaud 14 Giletti, Thomas 14 Lui, Roger 13 Repin, Sergeĭ Igorevich 13 Sperb, Rene P. 13 Vazquez, Juan Luis 13 Wang, Qiaoling 12 Coville, Jerome 12 Ding, Juntang 12 Hersch, Joseph 12 Horgan, Cornelius Oliver 12 Lou, Bendong 12 Ninomiya, Hirokazu 12 Peng, Rui 12 Salako, Rachidi Bolaji 12 Trombetti, Cristina 12 Villaggio, Piero 12 Xia, Changyu 12 Yi, Taishan 12 Yuan, Rong 11 Hilhorst, Danielle 11 Hsu, Cheng-Hsiung 11 Hsu, Szebi 11 Kadalbajoo, Mohan K. 11 Kenig, Carlos Eduardo 11 Lam, King-Yeung 11 Levine, Howard Allen 11 Macías-Díaz, Jorge Eduardo 11 Mimura, Masayasu 11 Ni, Wei-Ming 11 Nitsch, Carlo 11 Serrin, James 11 Shigesada, Nanako 11 Straughan, Brian 10 Alfaro, Matthieu 10 Enache, Cristian 10 Leung, Anthony Wing-Kwok 10 Nagylaki, Thomas 10 Poláčik, Peter 10 Russo, Remigio 10 Shi, Junping 10 Vitolo, Antonio 10 Wu, Jianhong 10 Zheng, Sining 10 Zhou, Maolin 9 Aniţa, Sebastian 9 Bu, Zhenhui 9 Fang, Jian 9 Fife, Paul C. 9 Garofalo, Nicola 9 Gol’dshtein, Vladimir Mikhailovich 9 Jin, Yu 9 Kim, Seick 9 López-Gómez, Julián 9 Peletier, Lambertus Adrianus ...and 4,744 more Authors all top 5 Cited in 449 Serials 381 Journal of Differential Equations 330 Journal of Mathematical Analysis and Applications 155 Archive for Rational Mechanics and Analysis 146 Nonlinear Analysis. Theory, Methods & Applications 118 Journal of Mathematical Biology 118 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 86 ZAMP. Zeitschrift für angewandte Mathematik und Physik 85 Proceedings of the American Mathematical Society 85 Nonlinear Analysis. Real World Applications 80 Applied Mathematics and Computation 78 Journal of Functional Analysis 71 Transactions of the American Mathematical Society 66 Journal of Computational and Applied Mathematics 60 Applicable Analysis 60 Journal of Dynamics and Differential Equations 58 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 56 Annali di Matematica Pura ed Applicata. Serie Quarta 56 Calculus of Variations and Partial Differential Equations 55 Bulletin of Mathematical Biology 55 Discrete and Continuous Dynamical Systems. Series B 54 Computers & Mathematics with Applications 53 Numerische Mathematik 49 Mathematical Biosciences 47 Linear Algebra and its Applications 46 Journal de Mathématiques Pures et Appliquées. Neuvième Série 45 Communications in Partial Differential Equations 45 Discrete and Continuous Dynamical Systems 41 Applied Mathematics Letters 39 Communications in Mathematical Physics 39 Mathematics of Computation 38 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 33 Physica D 33 Journal of Mathematical Sciences (New York) 31 Manuscripta Mathematica 31 SIAM Journal on Mathematical Analysis 29 Mathematische Annalen 28 Mathematical Methods in the Applied Sciences 28 Communications on Pure and Applied Analysis 25 Journal of Mathematical Physics 25 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 25 Mathematische Zeitschrift 25 Applied Numerical Mathematics 24 Journal d’Analyse Mathématique 24 Advances in Mathematics 24 Theoretical Population Biology 24 Journal of Elasticity 22 Duke Mathematical Journal 21 Journal of Approximation Theory 20 Journal of Computational Physics 20 Journal of Theoretical Biology 19 Mathematical and Computer Modelling 17 Computer Methods in Applied Mechanics and Engineering 17 Nonlinearity 17 Probability Theory and Related Fields 17 NoDEA. Nonlinear Differential Equations and Applications 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 The Journal of Geometric Analysis 15 Acta Mathematica 15 SIAM Journal on Applied Mathematics 15 Science China. Mathematics 14 Communications on Pure and Applied Mathematics 14 Automatica 14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 14 Potential Analysis 14 Journal of Biological Dynamics 13 International Journal of Engineering Science 13 Rocky Mountain Journal of Mathematics 13 Inventiones Mathematicae 13 Acta Mathematicae Applicatae Sinica. English Series 13 Japan Journal of Industrial and Applied Mathematics 13 Stochastic Processes and their Applications 13 Bulletin of the American Mathematical Society 12 Annales de l’Institut Fourier 12 Integral Equations and Operator Theory 12 Meccanica 12 Journal of Nonlinear Science 12 Abstract and Applied Analysis 12 Advances in Difference Equations 12 Discrete and Continuous Dynamical Systems. Series S 12 International Journal of Biomathematics 11 The Annals of Probability 11 Numerical Functional Analysis and Optimization 11 Rendiconti del Seminario Matematico della Università di Padova 11 Acta Mathematica Sinica. English Series 11 Communications in Contemporary Mathematics 10 Mathematical Notes 10 Archiv der Mathematik 10 Mathematische Nachrichten 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Quarterly of Applied Mathematics 10 Siberian Mathematical Journal 10 Journal of Scientific Computing 10 Numerical Algorithms 10 Applied Mathematical Modelling 10 Bulletin of the American Mathematical Society. New Series 10 Journal of Difference Equations and Applications 10 Journal of Mathematical Fluid Mechanics 10 Communications in Nonlinear Science and Numerical Simulation 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Bulletin of the Australian Mathematical Society ...and 349 more Serials all top 5 Cited in 55 Fields 3,341 Partial differential equations (35-XX) 1,017 Biology and other natural sciences (92-XX) 554 Numerical analysis (65-XX) 425 Ordinary differential equations (34-XX) 310 Fluid mechanics (76-XX) 266 Operator theory (47-XX) 222 Global analysis, analysis on manifolds (58-XX) 192 Mechanics of deformable solids (74-XX) 164 Integral equations (45-XX) 164 Differential geometry (53-XX) 158 Dynamical systems and ergodic theory (37-XX) 147 Calculus of variations and optimal control; optimization (49-XX) 139 Probability theory and stochastic processes (60-XX) 111 Potential theory (31-XX) 98 Classical thermodynamics, heat transfer (80-XX) 97 Functional analysis (46-XX) 67 Difference and functional equations (39-XX) 64 Systems theory; control (93-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 52 Approximations and expansions (41-XX) 48 Statistical mechanics, structure of matter (82-XX) 45 Real functions (26-XX) 43 Quantum theory (81-XX) 36 Functions of a complex variable (30-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Optics, electromagnetic theory (78-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Statistics (62-XX) 17 Special functions (33-XX) 17 Convex and discrete geometry (52-XX) 16 Measure and integration (28-XX) 15 Mechanics of particles and systems (70-XX) 13 Relativity and gravitational theory (83-XX) 13 Operations research, mathematical programming (90-XX) 12 Computer science (68-XX) 12 Geophysics (86-XX) 11 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 9 Integral transforms, operational calculus (44-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 7 Number theory (11-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Abstract harmonic analysis (43-XX) 6 Algebraic topology (55-XX) 5 Topological groups, Lie groups (22-XX) 5 Manifolds and cell complexes (57-XX) 3 General topology (54-XX) 3 Astronomy and astrophysics (85-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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