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BV solutions of a singular diffusion equation
Author(s) -
Yin J. X.,
Li H. L.,
Pang P. Y. H.
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310047
Subject(s) - mathematics , uniqueness , degenerate energy levels , partial differential equation , parabolic partial differential equation , class (philosophy) , mathematical analysis , type (biology) , diffusion , diffusion equation , weak solution , thermodynamics , physics , ecology , quantum mechanics , artificial intelligence , computer science , biology , economy , economics , service (business)
Abstract In this paper, we study discontinuous solutions of a partial differential equation of strongly degenerate parabolic type. A notion of weak solutions of BV class is proposed, and existence and uniqueness results are obtained.