Zobrazeno 1 - 10
of 12 450
pro vyhledávání: '"Nonlinear parabolic equations"'
Autor:
Li, Ying, Zhang, Chao
We study the well-posedness of solutions to the general nonlinear parabolic equations with merely integrable data in time-dependent Musielak-Orlicz spaces. With the help of a density argument, we establish the existence and uniqueness of both renorma
Externí odkaz:
http://arxiv.org/abs/2411.01828
Neural operators serve as universal approximators for general continuous operators. In this paper, we derive the approximation rate of solution operators for the nonlinear parabolic partial differential equations (PDEs), contributing to the quantitat
Externí odkaz:
http://arxiv.org/abs/2410.02151
Autor:
Goffi, Alessandro
We show by the maximum principle parabolic interior Schauder estimates for a special class of fully nonlinear parabolic Isaacs equations, providing an Evans-Krylov result for the model equation $\min\{\inf_{\beta}L_\beta u,\sup_\gamma L_\gamma u\}-\p
Externí odkaz:
http://arxiv.org/abs/2406.12427
Autor:
Garain, Prashanta
This article is twofold. In the first part of the article, we consider Brezis-Oswald problem involving the mixed anisotropic and nonlocal $p$-Laplace operator and establish existence, uniqueness, boundedness and strong maximum principle. Further, for
Externí odkaz:
http://arxiv.org/abs/2407.17928
Autor:
Gianazza, Ugo, Jesus, David
We consider non-negative, weak solutions to the doubly nonlinear parabolic equation $$ \partial_t u^q-\mbox{div}(|Du|^{p-2}Du)=0 $$ in the super-critical fast diffusion regime $0
Externí odkaz:
http://arxiv.org/abs/2406.16096
A system of two coupled nonlinear parabolic partial differential equations with two opposite directions of time is considered. In fact, this is the so-called "Mean Field Games System" (MFGS), which is derived in the mean field games (MFG) theory. Thi
Externí odkaz:
http://arxiv.org/abs/2405.10479
Autor:
Barles, Guy, Chasseigne, Emmanuel
In this article, we consider fully nonlinear, possibly degenerate, parabolic equations associated with Ventcell boundary conditions in bounded or unbounded, smooth domains. We first analyze the exact form of such boundary conditions in general domain
Externí odkaz:
http://arxiv.org/abs/2405.01899
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