Open AccessStrongly nonlinear parabolic variational inequalities
Author(s) -
Felix E. Browder,
H Brézis
Publication year - 1980
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.77.2.713
Subject(s) - uniqueness , mathematics , nonlinear system , partial differential equation , variational inequality , compact space , variety (cybernetics) , parabolic partial differential equation , class (philosophy) , type (biology) , mathematical analysis , pure mathematics , physics , computer science , ecology , statistics , quantum mechanics , artificial intelligence , biology
An existence and uniqueness result is established for a general class of variational inequalities for parabolic partial differential equations of the form ∂u /∂t +A (u ) +g (u ) =f withg nondecreasing but satisfying no growth condition. The proof is based upon a type of compactness result for solutions of variational inequalities that should find a variety of other applications.