Regularized Solution of the Cauchy Problem in an Unbounded Domain
Davron Aslonqulovich Juraev, Ali Shokri, Daniela Marian
Abstract
In this paper, using the construction of the Carleman matrix, we explicitly find a regularized solution of the Cauchy problem for matrix factorizations of the Helmholtz equation in a three-dimensional unbounded domain.
Topics & Concepts
Domain (mathematical analysis)MathematicsCauchy distributionHelmholtz equationMatrix (chemical analysis)Cauchy problemApplied mathematicsInitial value problemCauchy matrixCauchy boundary conditionMathematical analysisBoundary value problemNeumann boundary conditionMaterials scienceComposite materialMatrix Theory and AlgorithmsAlgebraic and Geometric AnalysisNumerical methods in inverse problems