Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Bhattacharya, Tilak"'
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
We study a version of the strong minimum principle, and large time asymptotics of positive viscosity solutions to classes of doubly nonlinear parabolic equations of the form $$ H(Du,D^2u)-u^{k-1}u_t=0,\;\;k\geq 1,\quad\mbox{in $\Omega\times [0,T)$},$
Externí odkaz:
http://arxiv.org/abs/2202.10592
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
We study Phragm\'en-Lindel\"of properties for viscosity solutions to a class of nonlinear parabolic equations of the type $H(Du, D^2u+Z(u)Du\otimes Du)+\chi(t)|Du|^\sigma-u_t=0$ under a certain boundedness condition on $H$. We also state results for
Externí odkaz:
http://arxiv.org/abs/1809.08679
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
We study Phragm\'en-Lindel\"of properties of viscosity solutions to a class of doubly nonlinear parabolic equations in $\mathbb{R}^n\times (0,T)$. We also include an application to some doubly nonlinear equations.
Comment: 32 pages, small correc
Comment: 32 pages, small correc
Externí odkaz:
http://arxiv.org/abs/1805.05861
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
In this work, we show existence and uniqueness of positive solutions of $H(Du, D^2u)+\chi(t)|Du|^\Gamma-f(u)u_t=$ in $\Omega\times(0, T)$ and $u=h$ on its parabolic boundary. The operator $H$ satisfies certain homogeneity conditions, $\Gamma>0$ and d
Externí odkaz:
http://arxiv.org/abs/1610.03549
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
Publikováno v:
J. of Evol. Eqns. 16(4), 759--788 (2016)
We study asymptotic decay rates of viscosity solutions to some doubly nonlinear parabolic equations, including Trudinger's equation. We also prove a Phragm\'en-Lindel\"of type result and show its optimality.
Comment: 26 pages. Some small changes
Comment: 26 pages. Some small changes
Externí odkaz:
http://arxiv.org/abs/1507.08714
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
We consider viscosity solutions of a class of nonlinear degenerate elliptic equations on bounded domains. We prove comparison principles and a priori supremum bounds for the solutions. We also address the eigenvalue problem and, in many instances, sh
Externí odkaz:
http://arxiv.org/abs/1503.04879
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
Publikováno v:
Nonlinear Differ. Equ. Appl., October 2015, Volume 22, Issue 5, pp 1089-1114
We study the existence of positive viscosity solutions to Trudinger's equation for cylindrical domains $\Omega\times[0, T)$, where $\Omega\subset \mathbb{R}^n,\;n\ge 2,$ is a bounded domain, $T>0$ and $2\leq p<\infty$. We show existence for general d
Externí odkaz:
http://arxiv.org/abs/1501.05585
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
Publikováno v:
Ann. Mat. Pura Appl., Vol 194, Issue 5 (2015), 1423--1454
In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation involving the non-homogeneous infinity-Laplacian.
Comment: 45 pages 2 figures
Comment: 45 pages 2 figures
Externí odkaz:
http://arxiv.org/abs/1310.2321
Autor:
Bhattacharya, Tilak, Marazzi, Leonardo
Publikováno v:
Electron. J. Diff. Equ., Vol. 2013 (2013), No. 47, pp. 1--30
We study an eigenvalue problem for the infinity-Laplacian on bounded domains. We prove the existence of the principal eigenvalue and a corresponding positive eigenfunction. The work also contains existence results when the parameter, in the equation,
Externí odkaz:
http://arxiv.org/abs/1211.3074
Autor:
Bhattacharya, Tilak, Mohammed, Ahmed
Our purpose in this paper is to provide a self contained account of the inhomogeneous Dirichlet problem $\Delta_\infty u=f(x,u)$ where $u$ takes a prescribed continuous data on the boundary of bounded domains. We employ a combination of Perron's meth
Externí odkaz:
http://arxiv.org/abs/1104.1462