Elliptic approximation of forward-backward parabolic equations

DOI10.3934/cpaa.2020047zbMath1439.35304OpenAlexW2980528186MaRDI QIDQ2286207

Fabio Paronetto

Publication date: 10 January 2020

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020047

zbMATH Keywords

elliptic equationsmonotone operatorselliptic-parabolic equationsforward-backward parabolic equationsabstract equationsapproximation by singular perturbations

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) PDEs of mixed type (35M10) Nonlinear elliptic equations (35J60)

Related Items (5)

Boundedness for solutions of weighted forward-backward parabolic equations without assuming higher regularity ⋮ A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension ⋮ A noniterative domain decomposition method for the forward-backward heat equation ⋮ An RBF-PUM finite difference scheme for forward-backward heat equation ⋮ Solving the forward-backward heat equation with a non-overlapping domain decomposition method based on multiquadric RBF meshfree method

Cites Work

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• An abstract treatment of some forward-backward problems of transport and scattering
• On an equation of mixed type from electron scattering theory
• Existence results for a class of evolution equations of mixed type
• On a forward-backward parabolic equation
• Spectral Theory and Quantum Mechanics
• Abstract Kinetic Equations with Positive Collision Operators

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