Strong solutions to a nonlocal-in-time semilinear heat equation

DOI10.1090/qam/1579zbMath1461.35131arXiv2007.05029OpenAlexW3086984393MaRDI QIDQ5858933

Christoph Walker

Publication date: 15 April 2021

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05029

zbMATH Keywords

semilinear heat equationexistence of global solutionsnonlocal in time

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)

Related Items (4)

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 ⋮ Weak solvability of a boundary value problem for a parabolic equation with a global-in-time term that contains a weighted integral ⋮ Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces

Cites Work

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• 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
• A variational principle for linear evolution problems nonlocal in time
• Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
• On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions

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