Classical Fundamental Solution of the Cauchy Problem for Ultraparabolic Kolmogorov-Type Equations with Two Groups of Spatial Variables of Degeneration. I
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-04726-z
Abstract: We construct a classical fundamental solution of the Cauchy problem for the degenerate ultraparabolic Kolmogorov-type equation with two groups of spatial variables of degeneration. We also established exact estimates for this solution and its derivatives. read more here.
Keywords: ultraparabolic kolmogorov; cauchy problem; fundamental solution; kolmogorov type ... See more keywords
DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary
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DOI: 10.1016/j.enganabound.2018.04.007
Abstract: Abstract In this study, the MHD flow direct and Cauchy problems are solved in a rectangular duct with a perturbed, curved, and slip upper boundary. The aim is to recompute the slipping velocity and the… read more here.
Keywords: duct; mhd; cauchy; perturbed boundary ... See more keywords
Solution of the Cauchy problem for the wave equation using iterative regularization
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DOI: 10.1080/17415977.2021.1949590
Abstract: We propose a regularization method based on the iterative conjugate gradient method for the solution of a Cauchy problem for the wave equation in one dimension. This linear but ill-posed Cauchy pro... read more here.
Keywords: problem wave; cauchy problem; regularization; solution cauchy ... See more keywords
On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order
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DOI: 10.3390/e24070968
Abstract: In this paper, on the basis of the Carleman matrix, we explicitly construct a regularized solution of the Cauchy problem for the matrix factorization of Helmholtz’s equation in an unbounded two-dimensional domain. The focus of… read more here.
Keywords: problem; cauchy problem; approximate solution; solution cauchy ... See more keywords
Regularized Solution of the Cauchy Problem in an Unbounded Domain
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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