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2005 Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems
Giuseppina Guatteri, Alessandra Lunardi
Adv. Differential Equations 10(1): 65-88 (2005).

Abstract

We solve the Cauchy problem for a quasilinear parabolic equation in $[0,T]\times \mathbb R^n$ with quadratic nonlinearity in the gradient and with Hölder-continuous, not necessarily differentiable, initial datum. We get the same smoothing properties of linear parabolic equations, and we use them to improve the results now available in the literature on a class of stochastic forward-backward systems.

Citation

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Giuseppina Guatteri. Alessandra Lunardi. "Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems." Adv. Differential Equations 10 (1) 65 - 88, 2005.

Information

Published: 2005
First available in Project Euclid: 18 December 2012

zbMATH: 1103.35041
MathSciNet: MR2106121

Subjects:
Primary: 35K55
Secondary: 35B65, 35K15, 35R60, 60H10

Rights: Copyright © 2005 Khayyam Publishing, Inc.

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Vol.10 • No. 1 • 2005
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