Existence of solutions to the Poisson equation in $L_p$-weighted spaces

• Autorzy: Joanna Rencławowicz , Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

We examine the Poisson equation with boundary conditions on a cylinder in a weighted space of $L_p$, p≥ 3, type. The weight is a positive power of the distance from a distinguished plane. To prove the existence of solutions we use our result on existence in a weighted L₂ space.

Kategorie tematyczne

• 35J25: Boundary value problems for second-order elliptic equations
• 31A30: Biharmonic, polyharmonic functions and equations, Poisson's equation
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2010
• Tom: 37
• Numer: 1
• Strony: 1-12

Daty

wydano

2010

Twórcy

autor

Joanna Rencławowicz

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

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/am37-1-1