Distributional solutions to a generalized wave equation for gravity waves on deep water

DOI10.1016/0022-247X(87)90052-7zbMath0654.35057OpenAlexW2060007953MaRDI QIDQ1108482

Terry L. Kiser

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90052-7

zbMATH Keywords

Laplacianeigenfunction expansiongravity wavesdeep waterdistributional datasquare-rootlinearized small amplitude approximationstatic surfaceunperturbed static fluid

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) PDEs with low regular coefficients and/or low regular data (35R05) Second-order hyperbolic equations (35L10)

Cites Work

• Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
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