A Counterexample toC2,1Regularity for Parabolic Fully Nonlinear Equations
نویسندگان
چکیده
منابع مشابه
A Counterexample to C Regularity for Parabolic Fully Nonlinear Equations
We address the self-similar solvability of a singular parabolic problem and show that solutions to parabolic fully nonlinear equations are not expected to be C.
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Recently M. Crandall and P. L. Lions [3] developed a very successful method for proving the existence of solutions of nonlinear second-order partial differential equations. Their method, called the theory of viscosity solutions, also applies to fully nonlinear equations (in which even the second order derivatives can enter in nonlinear fashion). Solutions produced by the viscosity method are gu...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2008
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605300701518240