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Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we consider the parabolic equations with nonlocal Monge-Ampère operators ∂u∂t(x,t)−Dsθu(x,t)=f(u(x,t)),(x,t)∈R+n×R.\frac{\partial u}{\partial t}\left(x,t)-{D}_{s}^{\theta }u\left(x,t)=f\left(u\left(x,t)),\hspace{1.0em}\left(x,t)\in ...
Du Guangwei, Wang Xinjing
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Regularity results for degenerate parabolic equations with L m data

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Existence of solutions to nonlinear parabolic equations via majorant integral kernel

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Global Regularity and Bounds for Solutions of Parabolic Equations for Probability Measures

Theory of Probability and Its Applications, 2006
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Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations

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Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations

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