Article

Criterion for the Solvability of the Cauchy Problemfor the Biharmonic Equation in $$\mathbb {R}^3$$and Analytic Continuation of the Solution

O. I. MakhmudovSamarkand State University, Samarkand, 140104, UzbekistanI. E. NiyozovSamarkand State University, Samarkand, 140104, Uzbekistan

Differential Equationsjournal2025en

ABI

Abstract

We study the solvability of the problem on the analytic continuation of the solution of the biharmonic equation in a spatial domain based on the values of the solution itself and its partial derivatives of order $$ \le 3$$ given on part of the boundary of the domain.

Topics

Algebraic and Geometric Analysis Differential Equations and Boundary Problems Holomorphic and Operator Theory

Identifiers

DOI: 10.1134/s0012266125080051

Citations and references

Cited by 06 references

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