Small Perturbation Solutions for Parabolic Equations

Details Small Perturbation Solutions for Parabolic Equations Small Perturbation Solutions for Parabolic Equations

2011-11-25

arxiv.org/abs/1111.5888v2

Mathematics

Analysis of PDEs

In the first version of the paper, the author's name was not shown under the title. This along with a few typos is corrected i

Scientific paper

Let $\phi$ 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
$(D^2\phi, D\phi, \phi, x, t)$, we prove that any solution obtained from small
L1-perturbation of $\phi$ remains smooth.

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