F. Andreu

Existence and uniqueness for a degenerate parabolic equation with ¹-data

In this paper we study existence and uniqueness of solutions for the boundary-value problem, with initial datum in L1(Ω), ut = div a(x, Du) in (0,∞)×Ω, − ∂u ∂ηa ∈ β(u) on (0,∞)× ∂Ω, u(x, 0) = u0(x) in Ω, where a is a Caratheodory function satisfying the classical Leray-Lions hypothesis, ∂/∂ηa is the Neumann boundary operator associated to a, Du the gradient of u and β is a maximal monotone graph in R× R with 0 ∈ β(0).

A NONLOCAL p-LAPLACIAN EVOLUTION EQUATION WITH NONHOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS

In this paper we study the nonlocal p-Laplacian-type diffusion equation

MINIMIZING TOTAL VARIATION FLOW

u_t(t,x)=\int_{\mathbb{R}^N}J(x-y)|u(t,y)-u(t,x)|^{p-2}(u(t,y)-u(t,x))\,dy

Porous medium equation with absorption and a nonlinear boundary condition

,

A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions

(t,x)\in]0,T[\times\Omega

EXISTENCE RESULTS FOR L1 DATA OF SOME QUASI-LINEAR PARABOLIC PROBLEMS WITH A QUADRATIC GRADIENT TERM AND SOURCE

, with

Radially Symmetric Solutions of a Tempered Diffusion Equation. A Porous Media, Flux-Limited Case

u(t,x)=\psi(x)

THE MINIMIZING TOTAL VARIATION FLOW WITH MEASURE INITIAL CONDITIONS

for

On a nonlinear flux-limited equation arising in the transport of morphogens

(t,x)\in]0,T[\times(\mathbb{R}^N\setminus\Omega)

ENTROPY SOLUTIONS IN THE STUDY OF ANTIPLANE SHEAR DEFORMATIONS FOR ELASTIC SOLIDS

. If