The boundary regularity of non-linear parabolic systems I

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

Boundary approximate controllability of some linear parabolic systems

This paper focuses on the boundary approximate controllability of two classes of linear parabolic systems, namely a system of n heat equations coupled through constant terms and a 2× 2 cascade system coupled by means of a first order partial differential operator with space-dependent coefficients. For each system we prove a sufficient condition in any space dimension and we show that this condi...

Free Boundary Regularity in the Parabolic Fractional Obstacle Problem

The parabolic obstacle problem for the fractional Laplacian naturally arises in American option models when the assets prices are driven by pure jump Lévy processes. In this paper we study the regularity of the free boundary. Our main result establishes that, when s > 12 , the free boundary is a C 1,α graph in x and t near any regular free boundary point (x0, t0) ∈ ∂{u > φ}. Furthermore, we als...

On maximal parabolic regularity for non-autonomous parabolic operators

We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the property of maximal parabolic regularity can be extrapolated to time integrability exponents r 6= 2. This allows us to prove maximal parabolic L r-regularity for discontinuous non-autonomous second-order divergence form ...

Regularity of a Free Boundary in Parabolic Potential Theory