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On some second‐order non‐linear systems of a hyperbolic‐parabolic type
Author(s) -
Chrzȩszczyk Andrzej
Publication year - 1995
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.1670181203
Subject(s) - mathematics , class (philosophy) , hyperbolic partial differential equation , type (biology) , mathematical analysis , elasticity (physics) , parabolic partial differential equation , order (exchange) , cauchy problem , partial differential equation , initial value problem , ecology , materials science , finance , artificial intelligence , computer science , economics , composite material , biology
We consider local solutions to the Cauchy problem for a class of non‐linear hyperbolic‐parabolic systems generalizing the systems of elasticity and thermoelasticity. Our main purpose is to relax the usual regularity requirements to include the nonclassical solutions into considerations.