Regularized Solution of the Cauchy Problem in an Unbounded Domain
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081682
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. read more here.
Keywords: solution cauchy; unbounded domain; cauchy problem; regularized solution ... See more keywords
Regularized solution for a biharmonic equation with discrete data
Sign Up to like & getrecommendations! Published in 2020 at "Evolution Equations and Control Theory"
DOI: 10.3934/eect.2020008
Abstract: In this work, we focus on the Cauchy problem for the biharmonic equation associated with random data. In general, the problem is severely ill-posed in the sense of Hadamard, i.e, the solution does not depend… read more here.
Keywords: biharmonic equation; equation discrete; solution biharmonic; regularized solution ... See more keywords