I. V. Kolos, M. V. Kolos, “Solvability of the generalized Dirichlet problem for hyperbolic equations”, Num. Meth. Prog., 3:1 (2002), 161

Numerical methods and programming

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Numerical methods and programming, 2002, Volume 3, Issue 1, Pages 161–171 (Mi vmp749)

Solvability of the generalized Dirichlet problem for hyperbolic equations

I. V. Kolos^a, M. V. Kolos^b

^a University of Russian Education Academy, Moscow
^b Lomonosov Moscow State University, Research Computing Center

Full-text PDF (164 kB)

Abstract: A priory inequalities with a negative norm are obtained for hyperbolic differential equations with Dirichlet boundary conditions for the case when the right-hand sides belong to a space of generalized functions. The existence and uniqueness of a generalized solution to the problem as well as the convergence of an approximate method are proved.

Keywords: generalized Dirichlet problem, hyperbolic equations, numerical methods, generalized functions.

UDC: 519.6

Language: Russian

Citation: I. V. Kolos, M. V. Kolos, “Solvability of the generalized Dirichlet problem for hyperbolic equations”, Num. Meth. Prog., 3:1 (2002), 161–171

Citation in format AMSBIB

\Bibitem{KolKol02}

\by I.~V.~Kolos, M.~V.~Kolos

\paper Solvability of the generalized Dirichlet problem for hyperbolic equations

\jour Num. Meth. Prog.

\yr 2002

\vol 3

\issue 1

\pages 161--171

\mathnet{http://mi.mathnet.ru/vmp749}

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https://www.mathnet.ru/eng/vmp749

https://www.mathnet.ru/eng/vmp/v3/i1/p161

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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