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Subsolutions and super solutions to systems of parabolic equations with applications to generalized Fujita‐type systems
Author(s) -
Lu G.,
Sleeman B. D.
Publication year - 1994
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.1670171302
Subject(s) - fujita scale , mathematics , constructive , type (biology) , parabolic partial differential equation , mathematical analysis , partial differential equation , computer science , ecology , physics , process (computing) , meteorology , biology , operating system
Abstract A constructive method for obtaining subsolutions and supersolutions to the Cauchy problem for systems of parabolic equations is discussed. Applications of the method to Fujita‐type systems are considered leading to global existence and finite time blow‐up results.