On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations | Zendy

Akitaka Matsumura | Zendy

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On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations

Author(s) -

Akitaka Matsumura

Publication year - 1976

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195190962

Subject(s) - integrable system , mathematics , norm (philosophy) , nonlinear system , notation , mathematical analysis , wave equation , space (punctuation) , linear equation , mathematical physics , physics , arithmetic , quantum mechanics , linguistics , philosophy , political science , law

utt -Au + ut +/(«, ut, Vu) - 0 . We show the asymptotic properties of the solutions of the linear equation [(2) with /*=0] in 2. 1 and those of the nonlinear equation (2) in 2. 2 and 2. 3. Notation. We denote by U the space of measurable functions u on Rn whose ^>-th powers (l

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