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arXiv · 1111.5888

Small Perturbation Solutions for Parabolic Equations

Yu Wang
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Abstract

Let $ϕ$ be a smooth solution of the parabolic equation $F(D^2u, Du, u, x, t)- u_{t} = 0$: Assume $F$ is uniform elliptic only in a neighborhood of $(D^2ϕ, Dϕ, ϕ, x, t)$, we prove that any solution obtained from small L1-perturbation of $ϕ$ remains smooth.

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Yu Wang. 2012-05-31. Small Perturbation Solutions for Parabolic Equations. https://arxiv.org/abs/1111.5888

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