On the convergence of a class of degenerate parabolic equations

DOI10.1016/S0021-7824(01)80001-5zbMath0920.35082MaRDI QIDQ1277401

Francesco Serra Cassano, Fabio Paronetto

Publication date: 1 September 1999

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

a sequence of parabolic operatorsconvergence of the Cauchy-Dirichlet problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

• G-convergence of monotone operators
• An extension of G-convergence to the class of degenerate elliptic operators
• Degenerate parabolic equations and Harnack inequality
• On the homogenization of degenerate elliptic equations in divergence form
• Non-homogeneous media and vibration theory
• An approach to the asymptotic behaviour of elliptic-parabolic operators
• Sur la convergence de solutions d'équations paraboliques
• On the convergence of solutions of degenerate elliptic equations in divergence form
• An introduction to \(\Gamma\)-convergence
• Existence and properties of the Green function for a class of degenerate parabolic equations
• Problèmes de perturbations lies aux phénomènes de conduction à travers des couches minces de grande resistivite
• A Harnack inequality for degenerate parabolic equations
• Compactness and convergence of minimum points for a class of nonlinear nonequicoercive functionals
• G-convergence of parabolic operators
• Harnack's Inequality for Degenerate Parabolic Equations
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Weighted norm inequalities for maximal functions and singular integrals
• Homogenization of non-uniformly elliptic operators†
• Mean value and Harnack inequalities for degenerate parabolic equations
• On Certain Convolution Inequalities
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