New reproducing kernel Hilbert spaces on semi‐infinite domains with existence and uniqueness results for the nonhomogeneous telegraph equation

New reproducing kernel Hilbert spaces on semi‐infinite domains with existence and uniqueness results for the nonhomogeneous telegraph equation

We introduce new reproducing kernel Hilbert spaces on a semi‐infinite domain and demonstrate existence and uniqueness of solutions to the nonhomogeneous telegraph equation in these spaces if the driver is square‐integrable and sufficiently smooth.

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Veröffentlicht in:Mathematical methods in the applied sciences 2020-11, Vol.43 (17), p.9615-9636
Hauptverfasser: Hassan, Jabar S., Grow, David
Format: Artikel
Sprache:eng
Schlagworte:
Domains
existence and uniqueness
Hilbert space
Kernels
reproducing kernel Hilbert spaces
telegraph equation
Uniqueness
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container_end_page 9636
container_issue 17
container_start_page 9615
container_title Mathematical methods in the applied sciences
container_volume 43
creator Hassan, Jabar S.
Grow, David
description We introduce new reproducing kernel Hilbert spaces on a semi‐infinite domain and demonstrate existence and uniqueness of solutions to the nonhomogeneous telegraph equation in these spaces if the driver is square‐integrable and sufficiently smooth.
doi_str_mv 10.1002/mma.6627
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source Wiley-Blackwell Journals
subjects Domains
existence and uniqueness
Hilbert space
Kernels
reproducing kernel Hilbert spaces
telegraph equation
Uniqueness
title New reproducing kernel Hilbert spaces on semi‐infinite domains with existence and uniqueness results for the nonhomogeneous telegraph equation
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