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Ein eindeutigkeitssatz für strahlungslösungen eines übergangsproblems zur schwingungsgleichung mit unbeschränkter trennfläche
Author(s) -
Beck P.,
Leis R.
Publication year - 1985
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670070119
Subject(s) - mathematics , uniqueness , type (biology) , differential operator , infinity , mathematical analysis , pure mathematics , order (exchange) , operator (biology) , characterization (materials science) , helmholtz free energy , physics , ecology , biochemistry , chemistry , finance , repressor , quantum mechanics , gene , transcription factor , optics , economics , biology
We shall derive a Rellich‐type‐estimate for solutions in R N of a transmission problem associated with a second order uniformly elliptic differential operator of Helmholtz‐type. The transitional surface is supposed to be unbounded and a characterization of its behaviour at infinity is given. Using this estimate, we can prove a uniqueness theorem for radiation solutions of the transmission problem.