Stability of degenerate parabolic Cauchy problems
Lukkari, T., & Parviainen, M. (2015). Stability of degenerate parabolic Cauchy problems. Communications on pure and applied analysis, 14(1), 201-216. https://doi.org/10.3934/cpaa.2015.14.201
Published in
Communications on pure and applied analysisDate
2015Copyright
© 2014 American Institute of Mathematical Sciences. This is a final draft version of an article whose final and definitive form has been published by AIMS. Published in this repository with the kind permission of the publisher.
We prove that solutions to Cauchy problems related
to the p-parabolic equations are stable with respect to the nonlinearity
exponent p. More specifically, solutions with a fixed initial
trace converge in an L
q
-space to a solution of the limit problem as
p > 2 varies.
Publisher
American Institute of Mathematical SciencesISSN Search the Publication Forum
1534-0392Keywords
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