Global existence and non-existence for the degenerate and uniformly parabolic equations with gradient term
Published online by Cambridge University Press: 22 May 2013
Abstract
We study the Cauchy problem for the degenerate and uniformly parabolic equations with gradient term. The local existence, global existence and non-existence of solutions are obtained. In the case of global solvability, we get the exact estimates of a solution. In particular, we obtain the global existence of solutions in the limiting case.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 3 , June 2013 , pp. 643 - 668
- Copyright
- Copyright © Royal Society of Edinburgh 2013
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