Interior and boundary regularity of solutions to a plasma type equation

Author:
Ying C. Kwong

Journal:
Proc. Amer. Math. Soc. **104** (1988), 472-478

MSC:
Primary 35K55; Secondary 35B65, 76X05

MathSciNet review:
962815

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Abstract: In this paper, we will consider a plasma type equation with homogeneous boundary condition and nonnegative initial data such that there is a finite extinction . We will show that the solution is a positive classical solution in the interior of the parabolic cylinder and it decays to zero at the boundary at a certain explicit rate.

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1988-0962815-5

Keywords:
Nonlinear degenerate diffusion equation,
finite extinction time,
regularity

Article copyright:
© Copyright 1988
American Mathematical Society