On nonlocal problems for systems of parabolic equations

DOI10.1016/j.jmaa.2014.08.027zbMath1297.35107OpenAlexW2063227771MaRDI QIDQ743235

Anna Sh. Lyubanova

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.027

zbMATH Keywords

global existenceglobal uniquenessnonlocal conditions with respect to time

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Initial boundary value problem for a nonlocal in time parabolic equation ⋮ Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential ⋮ Optimization method for constructing a stabilizing effect for a loaded thermal conductivity operator ⋮ STABILIZATION OF SOLUTIONS OF TWO-DIMENSIONAL PARABOLIC EQUATIONS AND RELATED SPECTRAL PROBLEMS ⋮ On some boundary value problems for systems of pseudoparabolic equations ⋮ Weak solvability of a boundary value problem for a parabolic equation with a global-in-time term that contains a weighted integral ⋮ Strong solutions to a nonlocal-in-time semilinear heat equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of nonlinear non-classical parabolic equations
• A problem with time-averaged data for nonlinear parabolic equations
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• A variational principle for linear evolution problems nonlocal in time
• A nonlinear loaded parabolic equation and a related inverse problem
• On a boundary value problem for a spectrally loaded heat operator. I
• On a boundary value problem for a spectrally loaded heat operator. II
• A porous medium equation with nonlocal boundary condition and a localized source
• ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION

This page was built for publication: On nonlocal problems for systems of parabolic equations