Unimprovable derivative estimates of a solution of the Dirichlet problem for a biharmonic equation in bounded domains

DOI10.1007/BF02110355zbMath0832.31001MaRDI QIDQ1898513

S. P. Levashkin

Publication date: 27 September 1995

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

generalized solutionsbiharmonic equationSobolev embedding theoremderivative estimatesnonsmooth bounded domain

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Cites Work

• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• On the asymptotic properties of generalized solutions of Dirichlet's problem for a polyharmonic equation in non-smooth domains

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