Cauchy Problems for Mixed-Type Operators
Author(s) -
Keisuke Uchikoshi
Publication year - 2000
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/1195143101
Subject(s) - mathematics , cauchy distribution , cauchy problem , cauchy's convergence test , type (biology) , operator theory , elliptic operator , pure mathematics , initial value problem , mathematical analysis , cauchy boundary condition , boundary value problem , ecology , biology , free boundary problem
We study a general theory of mixed-type operators containing the nicomi operatoIs, degenerate hyperbolic operators, and elliptic operators. We will give a necessary and sucient condition for the Cauchy problems to be well-posed.
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