On the Correct Solvability of the Dirichlet Boundary Value Problem for the Generalized Helmholtz Equation in a Strip

Within the framework of the theory of operator cosine functions and its application, a solution of the Dirichlet boundary value problem for the generalized Helmholtz equation in a strip is found and the correct solvability of this problem is established. The critical width of the strip is found depe...

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Veröffentlicht in:	Doklady. Mathematics 2021-07, Vol.104 (1), p.184-187
Hauptverfasser:	Kostin, V. A., Kostin, D. V., Kostin, A. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Boundary value problems Dihedral angle Dirichlet problem Helmholtz equations Mathematics Mathematics and Statistics Propagation Strip Trigonometric functions
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