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- W858014791 abstract "heat conduction phenomena like initial-boundary value problems in linear thermoelasticity are described. Except for the last example A is a selfadjoint operator. To solve such problems one has to give a solution concept first. Afterwards one tries to get more specific knowledge of the solutions obtained. For instance one inquires about their regularity, or about their asymptotic behaviour for large times and proves the existence of wave and scattering operators. Problems of inverse scattering theory are of great mathematical and practical interest (data like initial values, boundary or medium shall be recovered from the reflected signals). To treat such problems one has to know, for instance, how the scattering operator is determined by the boundary and to invert this mapping. In the high frequency limiting case one obtains relatively simple formulae. In the following, however, I shall not touch on such questions. Rather, in the first part of the lecture I shall only briefly treat linear boundary value problems for exterior domains, and also with the restriction that the underlying medium is homogeneous outside a sufficiently large ball. Of course boundary value problems for domains with unbounded boundaries are also of great importance." @default.
- W858014791 created "2016-06-24" @default.
- W858014791 creator A5055793893 @default.
- W858014791 date "1992-01-01" @default.
- W858014791 modified "2023-09-30" @default.
- W858014791 title "Initial value problems in elasticity" @default.
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- W858014791 doi "https://doi.org/10.4064/-27-1-277-294" @default.
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