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arXiv · 1401.2772

Stability of degenerate parabolic Cauchy problems

Teemu Lukkari·Mikko Parviainen
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Abstract

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.

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Teemu Lukkari, Mikko Parviainen. 2014-01-13. Stability of degenerate parabolic Cauchy problems. https://arxiv.org/abs/1401.2772

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