Results 11 to 20 of about 463 (50)

A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems

Advances in Nonlinear Analysis, 2020
In this paper we deal with the elliptic ...
López-Martínez Salvador
doaj   +1 more source

A PDE approach of inflammatory phase dynamics in diabetic wounds

, 2014
The objective of the present paper is the modeling and analysis of the dynamics of macrophages and certain growth factors in the inammatory phase, the rst one of the wound healing process.
N. Cónsul, S. Oliva, M. Pellicer
semanticscholar   +1 more source

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR DAMPED LINEAR HYPERBOLIC EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS

, 2014
We consider damped linear hyperbolic equations with Dirichlet boundary conditions. We prove the existence, uniqueness, and regularity of the solution. We apply semi-discretization in time technique.
H. Bennour, M. S. Said
semanticscholar   +1 more source

Generalized functions on the closure of an open set. Application to uniqueness of some characteristic Cauchy problem

, 2013
To obtain existence and uniqueness when solving some nonlinear characteristic Cauchy problems, we define a special algebra GOM ( Ω ) of generalized functions on the closure Ω of an open set Ω in R constructed from the topological algebra OM ( Ω ) of ...
V. Dévoué, Jean-André Marti, H. Vernaeve, J. Vindas   +3 more
semanticscholar   +1 more source

Generalized gradient flow structure of internal energy driven phase field systems [PDF]

, 2015
In this paper we introduce a general abstract formulation of a variational thermomechanical model, by means of a unified derivation via a generalization of the principle of virtual powers for all the variables of the system, including the thermal one. In
Bonetti, Elena, Rocca, Elisabetta
core   +3 more sources

Global Well-Posedness and Exponential Stability for Heterogeneous Anisotropic Maxwell's Equations under a Nonlinear Boundary Feedback with Delay [PDF]

, 2018
We consider an initial-boundary value problem for the Maxwell's system in a bounded domain with a linear inhomogeneous anisotropic instantaneous material law subject to a nonlinear Silver-Muller-type boundary feedback mechanism incorporating both an ...
Anikushyn, Andrii, Pokojovy, Michael
core   +3 more sources

Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions

, 2013
In this note we present some uniqueness and comparison results for a class of problem of the form \begin{equation} \label{EE0} \begin{array}{c} - L u = H(x,u,\nabla u)+ h(x), \quad u \in H^1_0(\Omega) \cap L^{\infty}(\Omega), \end{array} \end{equation ...
Arcoya, David, De Coster, Colette, Jeanjean, Louis, Tanaka, Kazunaga   +3 more
core   +2 more sources

Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces

, 2017
In the paper, we consider the Cauchy problem of the non-resistive MHD equations in homogeneous Besov spaces. We prove the local existence and uniqueness of the solution to the non-resistive MHD equations by using the iterative scheme and compactness ...
Li, Jinlu, Tan, Wenke, Yin, Zhaoyang
core   +1 more source

Multiplicity of Solutions to Elliptic Problems Involving the 1-Laplacian with a Critical Gradient Term

Advanced Nonlinear Studies, 2017
In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene, Dall’Aglio Andrea, Segura de León Sergio   +2 more
doaj   +1 more source

Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system

Demonstratio Mathematica
Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
doaj   +1 more source