Weak solvability of a boundary value problem for a parabolic equation with a global-in-time term that contains a weighted integral

DOI10.1007/s41808-021-00103-2zbMath1479.35906arXiv2103.15630OpenAlexW3172636241MaRDI QIDQ2061643

Victor Nikolayevich Starovoitov

Publication date: 16 December 2021

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15630

zbMATH Keywords

solvabilityinitial boundary value problemweighted integralnonlocal in time parabolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Weak solutions to PDEs (35D30) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Related Items (2)

Solvability of a boundary value problem of chaotic dynamics of polymer molecule in the case of bounded interaction potential ⋮ A remark on a nonlocal-in-time heat equation

Cites Work

• Unnamed Item
• On nonlocal problems for systems of parabolic equations
• Initial boundary value problem for a nonlocal in time parabolic equation
• Some results based on maximal regularity regarding population models with age and spatial structure
• Real analysis: measures, integrals and applications
• Boundary value problem for a global‐in‐time parabolic equation
• Strong solutions to a nonlocal-in-time semilinear heat equation

This page was built for publication: Weak solvability of a boundary value problem for a parabolic equation with a global-in-time term that contains a weighted integral