ON A REGULARIZED SOLUTION OF THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION
In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a multidimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based o...
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| Veröffentlicht in: | TWMS journal of applied and engineering mathematics 2023-01, Vol.13 (4), p.1311 |
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| creator | Juraev, D.A Noeiaghdam, S Agarwal, P |
| description | In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a multidimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based on the Carleman matrix method. Keywords: Ill-Posed Cauchy Problems, regularized solution, approximate solution, matrix factorization, elliptical system. AMS Subject Classification: 35J46, 35J56 |
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| ispartof | TWMS journal of applied and engineering mathematics, 2023-01, Vol.13 (4), p.1311 |
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| subjects | Applied mathematics Boundary value problems Cauchy problems Differential equations Fluid dynamics Helmholtz equations Matrix methods Partial differential equations Physics |
| title | ON A REGULARIZED SOLUTION OF THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION |
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