Convergence of difference schemes for solving nonlinear parabolic equations
DOI10.1007/BF01158123zbMath0672.65078OpenAlexW2048820085MaRDI QIDQ1120261
Publication date: 1988
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01158123
Cauchy problemevolution equationnonlinear parabolic equationsBanach spacemild solutionclosed linear operator
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions to equations with nonlinear operators (65J15) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semigroups of linear operators and applications to partial differential equations
- Maximal regularity for evolution equations by interpolation and extrapolation
- Compactness results for time-dependent parabolic systems
- Almost-periodic solutions of second-order differential equations
- Singular perturbation and boundary layer for an abstract Cauchy problem
- Compactness methods for quasi-linear evolution-equations
- On Lax-type theorems with orders for semilinear initial-value problems
- A remark on semilinear perturbations of abstract parabolic equations
- An evolution equation perturbed by an unbounded semilinear operator and a boundary condition
- Existence and Uniqueness of Solutions of Second Order Nonlinear Differential Equations
- Periodic solutions of semilinear evolution equations
- On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations
- On Galerkin Methods in Semilinear Parabolic Problems
- Invariant sets for a class of semi-linear equations of evolution
- Relatively continuous nonlinear perturbations of analytic semigroups
- Stability theory of difference schemes and iterative methods
This page was built for publication: Convergence of difference schemes for solving nonlinear parabolic equations