A note on boundary value problems for the heat equation in Lipschitz cylinders
Author:
Abstract
We study the initial Dirichlet problem and the initial Neumann problem for the heat equation in Lipschitz cylinders, with boundary data in mixed norm spaces L q ( 0 , T , L p ( ∂ Ω ) ) {L^q}(0,T,{L^p}(\partial \Omega )) .
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1993-119-02/S0002-9939-1993-1156466-1/S0002-9939-1993-1156466-1.pdf
Reference16 articles.
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3. The initial-Dirichlet problem for a fourth-order parabolic equation in Lipschitz cylinders;Brown, Russell M.;Indiana Univ. Math. J.,1990
4. Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems;Brown, Russell M.;Rev. Mat. Iberoamericana,1992
5. L’intégrale de Cauchy définit un opérateur borné sur 𝐿² pour les courbes lipschitziennes;Coifman, R. R.;Ann. of Math. (2),1982
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