Open AccessStrictly dissipative boundary value problems at trihedral corners
Author(s) -
Laurence Halpern,
Jeffrey Rauch
Publication year - 2017
Publication title -
séminaire laurent schwartz — edp et applications
Language(s) - English
Resource type - Journals
ISSN - 2266-0607
DOI - 10.5802/slsedp.101
Subject(s) - boundary value problem , dissipative system , mathematical analysis , uniqueness , laplace transform , mathematics , boundary (topology) , uniqueness theorem for poisson's equation , mixed boundary condition , physics , quantum mechanics
For time independent symmetric hyperbolic systems with elliptic generators, gluing strictly dissipative boundary conditions at a multihedral corner yields a well posed boundary value problem. Uniqueness of solutions with square integrable boundary traces is proved using the Laplace transform and an H regularity theorem.
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