Convergence of Rothe's method for fully nonlinear parabolic equations

DOI10.1007/BF02930976zbMath1207.35131arXivmath/0404424OpenAlexW2104867960MaRDI QIDQ2574444

Ivan Blank, Penelope Smith

Publication date: 21 November 2005

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404424

zbMATH Keywords

method of linesRothe's methodviscosity solutionsparabolic PDEfully nonlinear

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• Unnamed Item
• Convergence of Rothe's method in Hölder spaces.
• Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Local solutions to quasilinear parabolic equations without growth restrictions
• A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations
• User’s guide to viscosity solutions of second order partial differential equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients
• Hölder estimates of solutions to difference partial differential equations of elliptic-parabolic type

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