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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Bibliographische Detailangaben
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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Beschreibung
Zusammenfassung:	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.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.6627