Results 11 to 20 of about 204 (48)

Short time behaviour for game-theoretic $p$-caloric functions [PDF]

, 2018
We consider the solution of $u_t-\Delta^G_p u=0$ in a (not necessarily bounded) domain, satisfying $u=0$ initially and $u=1$ on the boundary at all times. Here, $\Delta^G_p u$ is the game-theoretic or normalized $p$-laplacian.
Berti, Diego, Magnanini, Rolando
core   +2 more sources

Existence of mild solutions for a singular parabolic equation and stabilization

Advances in Nonlinear Analysis, 2015
In this paper, we study the existence and the uniqueness of a positive mild solution for the following singular nonlinear problem with homogeneous Dirichlet boundary conditions: (St) ∂tu - Δpu = u -δ + f(x,u) in (0,T) × Ω =: QT, u = 0 on (0,T) × ∂Ω, u ...
Bougherara Brahim, Giacomoni Jacques
doaj   +1 more source

Regularity of solutions of the parabolic normalized p-Laplace equation

Advances in Nonlinear Analysis, 2018
The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to L2{L^{2}}.
Høeg Fredrik Arbo, Lindqvist Peter
doaj   +1 more source

A Picone identity for variable exponent operators and applications

Advances in Nonlinear Analysis, 2019
In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh, Giacomoni Jacques, Warnault Guillaume   +2 more
doaj   +1 more source

Extinction for a Singular Diffusion Equation with Strong Gradient Absorption Revisited

Advanced Nonlinear Studies, 2018
When 2⁢N/(N+1)
Iagar Razvan Gabriel, Laurençot Philippe   +1 more
doaj   +1 more source

Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects [PDF]

, 2014
In this paper, we consider a coupled PDE system describing phase separation and damage phenomena in elastically stressed alloys in the presence of inertial effects.
Heinemann, Christian, Kraus, Christiane
core   +3 more sources

Evolutionary quasi-variational and variational inequalities with constraints on the derivatives

Advances in Nonlinear Analysis, 2018
This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial ...
Miranda Fernando, Rodrigues José Francisco, Santos Lisa   +2 more
doaj   +1 more source

Ireneo Peral: Forty Years as Mentor

Advanced Nonlinear Studies, 2017
In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral.Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
Abdellaoui Boumediene, Aguilar Juan Antonio, Barrios Begoña, Colorado Eduardo, Charro Fernando, García Azorero Jesús, Medina Maria, Merchán Susana, Montoro Luigi, Primo Ana   +9 more
doaj   +1 more source

Cauchy problem for a non-Newtonian filtration equation with slowly decaying volumetric moisture content

Advances in Nonlinear Analysis
This article is concerned with the qualitative properties for the Cauchy problem of a non-Newtonian filtration equation with a reaction source term and volumetric moisture content.
Huo Wentao, Fang Zhong Bo
doaj   +1 more source

Stochastic evolution equations with singular drift and gradient noise via curvature and commutation conditions

, 2019
We prove existence and uniqueness of solutions to a nonlinear stochastic evolution equation on the $d$-dimensional torus with singular $p$-Laplace-type or total variation flow-type drift with general sublinear doubling nonlinearities and Gaussian ...
Tölle, Jonas M.
core   +1 more source