$C^{1,\al}$ regularity of solutions to parabolic Monge-Ampére equations

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dc.creatorDaskalopoulos, Panagiota
dc.creatorSavin, Ovidiu
dc.date2009-05-11
dc.date.accessioned2026-07-07T13:13:57Z
dc.date.available2026-07-07T13:13:57Z
dc.descriptionWe study interior $C^{1, \al}$ regularity of viscosity solutions of the parabolic Monge-Ampére equation $$u_t = b(x,t) \ddua,$$ with exponent $p >0$ and with coefficients $b$ which are bounded and measurable. We show that when $p$ is less than the critical power $\frac{1}{n-2}$ then solutions become instantly $C^{1, \al}$ in the interior. Also, we prove the same result for any power $p>0$ at those points where either the solution separates from the initial data, or where the initial data is $C^{1, β}$.
dc.identifierhttps://arxiv.org/abs/0905.1685
dc.identifierhttp://arxiv.org/abs/0905.1685
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230065
dc.subjectAnalysis of PDEs
dc.title$C^{1,\al}$ regularity of solutions to parabolic Monge-Ampére equations
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