Integral Estimates of Solutions to Boundary Values Problems for the Poisson Equation

Anvar Kacimov; Farit Avkhadiev

doi:10.3103/s1066369x23100018

Back

Integral Estimates of Solutions to Boundary Values Problems for the Poisson Equation

Russian Mathematics 67(10): 63-69

Article 2023 English

Abstract

1 min read

We consider solutions to two boundary values problems for the Poisson equation on plane domains. We prove several estimates for integrals of solutions using geometric characteristics of domains.

Discussion(0)

No comments yet. Be the first to comment.

Related publications

Article2023

Integral estimates of solutions to boundary values problems for the Poisson equation

F. G. Avkhadiev, Anvar Kacimov

Article1988

Numerical solution of Poisson’s equation in polyatomic molecules

Axel D Becke, Ross M. Dickson

Article2005

Analytical Solutions and Estimates for Microlevel Flows

F. G. Avkhadiev, Anvar Kacimov

Article2002

Exact results with the <i>J</i>-integral applied to free-boundary flows

Martine Ben Amar, James R. Rice

Journal of Fluid Mechanics

Article1992

The Estimation of Integral Seepage Characteristics of Hydraulic Structures in Terms of the Theory of Inverse Boundary‐Value Problems

N. B. Ilyinsky, Anvar Kacimov