34 citations · 61 across the 12 of their papers we have counts for
12 papers
A Strong Minimum principle and Large Time Asymptotics for viscosity solutions to a class of doubly nonlinear possibly degenerate parabolic equations
Tilak Bhattacharya, Leonardo Marazzi
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(D…
A Phragmén-Lindelöf property of viscosity solutions to a class of doubly nonlinear parabolic equations: Bounded Case
Tilak Bhattacharya, Leonardo Marazzi
We study Phragmén-Lindelöf properties for viscosity solutions to a class of nonlinear parabolic equations of the type under a certai…
A Phragmén-Lindelöf property of viscosity solutions to a class of nonlinear, possibly degenerate, parabolic equations
Tilak Bhattacharya, Leonardo Marazzi
We study Phragmén-Lindelöf properties of viscosity solutions to a class of doubly nonlinear parabolic equations in . We also include an application to som…
On the viscosity solutions to a class of nonlinear degenerate parabolic differential equations
Tilak Bhattacharya, Leonardo Marazzi
In this work, we show existence and uniqueness of positive solutions of in and on its parabolic boundary. The operator s…
Asymptotics of viscosity solutions to some doubly nonlinear parabolic equations
Tilak Bhattacharya, Leonardo Marazzi
We study asymptotic decay rates of viscosity solutions to some doubly nonlinear parabolic equations, including Trudinger's equation. We also prove a Phragmén-Lindelöf type result a…
On the viscosity solutions to some nonlinear elliptic equations
Tilak Bhattacharya, Leonardo Marazzi
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 soluti…
On the viscosity solutions to Trudinger's equation
Tilak Bhattacharya, Leonardo Marazzi
We study the existence of positive viscosity solutions to Trudinger's equation for cylindrical domains , where is a bounded domain,…
On the viscosity solutions to a degenerate parabolic differential equation
Tilak Bhattacharya, Leonardo Marazzi
In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation involving the non-homogeneous infinity-Laplacian.
An Eigenvalue problem for the Infinity-Laplacian
Tilak Bhattacharya, Leonardo Marazzi
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 wor…
Absence of Resonances near Critical Line for CC Manifolds
Leonardo Marazzi
We find a resonance free region polynomially close to the critical line on Conformally compact manifolds with polyhomogeneous metric.
Asymptotically hyperbolic manifolds with polyhomogeneous metric
Leonardo Marazzi
We analyze the resolvent and define the scattering matrix for asymptotically hyperbolic manifolds with metrics which have a polyhomogeneous expansion near the boundary, and also pr…
Inverse scattering on conformally compact manifolds
Leonardo Marazzi
We study inverse scattering for on a conformally compact manifold with metric with variable sectional curvature $-\alf^2(y)$ at the boundary and $V\in C^\infty…