Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition.

zbMath1240.35215MaRDI QIDQ637000

Kazuhiro Ishige

Publication date: 1 September 2011

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

heat equationdecay rate\(L^{\infty }\)-estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)

Related Items (6)

Besov spaces generated by the Neumann Laplacian ⋮ Existence and stability of periodic and almost periodic solutions to the Boussinesq system in unbounded domains ⋮ On fractional Leibniz rule for Dirichlet Laplacian in exterior domain ⋮ On time-periodic solutions to the Boussinesq equations in exterior domains ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces

This page was built for publication: Gradient estimates for the heat equation in the exterior domains under the Neumann boundary condition.