Uniqueness in the Cauchy problem for the heat equation

DOI10.1017/S0013091500020459zbMath0945.35040OpenAlexW2150570786MaRDI QIDQ4487696

Soon-Yeong Chung

Publication date: 22 June 2000

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500020459

zbMATH Keywords

growth conditionGevrey ultradistributions

Mathematics Subject Classification ID

Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

On estimates for the Stokes flow in a space of bounded functions ⋮ Equivalence of \textit{BMO}-type norms with applications to the heat and Stokes semigroups ⋮ On \(L^\infty \)-\textit{BMO} estimates for derivatives of the Stokes semigroup ⋮ Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces ⋮ Characterization of Fourier hyperfunctions by solutions of the Hermite heat equation ⋮ Bounds on short cylinders and uniqueness in Cauchy problem for degenerate Kolmogorov equations ⋮ Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation ⋮ Uniqueness in the Cauchy problem for the Hermite heat equation ⋮ An example of nonuniqueness of the Cauchy problem for the Hermite heat equation

Cites Work

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• A Temperature Function Which Vanishes Initially
• Uniqueness in the Cauchy Problem for Parabolic Equations
• An example of nonuniqueness of the cauchy problem for the heat equation
• The Uniqueness of Solutions of the Heat Equation in an Infinite Strip

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