Convergence of difference approximations of quasilinear evolution equations

DOI10.1016/0362-546X(86)90049-0zbMath0637.47038OpenAlexW2087940865MaRDI QIDQ3776931

Panagiotis E. Souganidis, Michael G. Crandall

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90049-0

zbMATH Keywords

accretive operatorsexistence theory for the quasilinear initial-value problemsimple difference approximation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) General theory of ordinary differential operators (47E05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (13)

Asymptotic stability of solitary waves ⋮ Regular solutions to quasilinear integrodifferential equations in banach spaces ⋮ ANALYTICAL APPROACHES TO CHARGE TRANSPORT IN A MOVING MEDIUM ⋮ Exponential Integrators for Quasilinear Wave-Type Equations ⋮ Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations ⋮ Strong solutions to quasi-linear differential equations with deviating arguments ⋮ On the construction of methods of lines for functional evolutions in general Banach spaces ⋮ Quasilinear integrodifferential equations in Banach spaces ⋮ Existence of local solutions of quasilinear integrodifferential equations in banach spaces ⋮ Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations ⋮ Galerkin method applied to telegraph integro-differential equation with a weighted integral condition ⋮ Theory of Hyperbolic Evolution Equations and Partial Differential Equations ⋮ On nonlinear equations of evolution

Cites Work

• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• Convergence of difference approximation of nonlinear evolution equations and generation of semigroups
• On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence of difference approximations of quasilinear evolution equations