Well-posedness of parabolic differential and difference equations

DOI10.1016/j.camwa.2010.05.026zbMath1201.35064OpenAlexW2031978716MaRDI QIDQ611367

Allaberen Ashyralyev, Yaşar Sözen

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.05.026

zbMATH Keywords

Banach spaceswell-posednessdifference schemeabstract parabolic equationfractional spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

Periodicity and ergodicity for abstract evolution equations with critical nonlinearities ⋮ On the numerical solutions of some identification problems for one- and multidimensional parabolic equations backward in time ⋮ A note on the stability of the integral-differential equation of the parabolic type in a Banach space ⋮ Observable state space realizations for multivariable systems ⋮ The Structure of Fractional Spaces Generated by a Two-Dimensional Difference Neutron Transport Operator and Its Applications

Cites Work

• Approximation of abstract differential equations
• On Cauchy problem for parabolic differential-difference equations
• Nonlocal boundary-value problems for abstract parabolic equations: well-posedness in Bochner spaces
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• Well-posedness of difference elliptic equation
• Existence of almost periodic solutions of some functional differential equations with infinite delay in a Banach space
• Coercive solvability of the nonlocal boundary value problem for parabolic differential equations
• On well-posedness of the nonlocal boundary value problem for parabolic difference equations
• Coercive boundary value problems for regular degenerate differential-operator equations
• New difference schemes for partial differential equations.
• Linear and nonlinear degenerate boundary value problems in Besov spaces
• A note on the parabolic differential and difference equations
• Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
• ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INL^P([0,T;E) SPACES]
• Analytic semigroups and optimal regularity in parabolic problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Well-posedness of parabolic differential and difference equations