The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)

• Autorzy: Adam Kubica
• Języki publikacji: EN

Abstrakty

EN

We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.

Kategorie tematyczne

• 35J25: Boundary value problems for second-order elliptic equations
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
• 35B65: Smoothness and regularity of solutions
• 35B40: Asymptotic behavior of solutions
• 35C20: Asymptotic expansions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 4
• Strony: 443-456

Daty

wydano

2004

Twórcy

autor

Adam Kubica

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/am31-4-6