Local Decay of Solutions for Symmetric Hyperbolic Systems with Dissipative and Coercive Boundary Conditions in Exterior Domains | Zendy

Nobuhisa Iwasaki | Zendy

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Local Decay of Solutions for Symmetric Hyperbolic Systems with Dissipative and Coercive Boundary Conditions in Exterior Domains

Author(s) -

Nobuhisa Iwasaki

Publication year - 1969

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/1195194630

Subject(s) - dissipative system , mathematics , mathematical analysis , boundary (topology) , scattering , dimension (graph theory) , space (punctuation) , boundary value problem , scattering theory , pure mathematics , physics , quantum mechanics , linguistics , philosophy

P. D. Lax and R. S. Phillips approached the scattering theory for wave equation or symmetric hyperbolic systems with conservative and coercive boundary conditions by time-depended methods in their book "Scattering Theory". We have seen whether the methods in this book are applicable to other cases or not. If the interest is restricted to local decay, they are applicable to solutions for symmetric hyperbolic systems with dissipative and coercive boundary conditions when the dimension of space-like > 3. We report this here. We consider the following mixed problem in Ox[0, °o)

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