On the Two-Dimensional Muskat Problem with Monotone Large Initial Data

Well-posedness of the Muskat problem with H2 initial data

Article history: Received 30 December 2014 Accepted 13 August 2015 Available online xxxx Communicated by Charles Fefferman MSC: 35R35 35Q35 35S10 76B03

Quenching Time for a Nonlocal Diffusion Problem with Large Initial Data

Jiř́ı Šremr ON THE INITIAL VALUE PROBLEM FOR TWO–DIMENSIONAL SYSTEMS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MONOTONE OPERATORS

We establish new efficient conditions sufficient for the unique solvability of the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators.

On the Initial Singularity Problem in Two-dimensional Quantum Cosmology

The problem of how to put interactions in two-dimensional quantum gravity in the strong coupling regime is studied. It shows that the most general interaction consistent with this symmetry is a Liouville term that contain two parameters (α, β) satisfying the algebraic relation 2β − α = 2 in order to assure the closure of the diffeomorphism algebra. The model is classically soluble and it contai...

quenching time for a nonlocal diffusion problem with large initial data