Existence of unique solutions to the telegraph equation in binary reproducing kernel Hilbert spaces

DOI10.1007/s12591-019-00453-3zbMath1444.35109OpenAlexW2916759302WikidataQ115376435 ScholiaQ115376435MaRDI QIDQ778870

Ali Akgül, David E. Grow

Publication date: 20 July 2020

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-019-00453-3

zbMATH Keywords

homogeneous Dirichlet boundary conditionsone space dimension

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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