A theory on perturbations of the Dirac operator.
A thermodynamic approach to nonisothermal phase-field models
The goal of this paper is to work out a thermodynamical setting for nonisothermal phase-field models with conserved and nonconserved order parameters in thermoelastic materials. Our approach consists in exploiting the second law of thermodynamics in the form of the entropy principle according to I. Müller and I. S. Liu, which leads to the evaluation of the entropy inequality with multipliers. As the main result we obtain a general scheme of phase-field models which involves an...
A third-order nonlocal problem with nonlocal conditions.
A three-point boundary value problem with an integral condition for a third-order partial differential equation.
A three-point boundary-value problem for a hyperbolic equation with a non-local condition.
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset of the solution set of the singularly perturbed system. This subset is the set of...
A time-delayed Perona-Malik type problems
A topological asymptotic analysis for the regularized grey-level image classification problem
The aim of this article is to propose a new method for the grey-level image classification problem. We first present the classical variational approach without and with a regularization term in order to smooth the contours of the classified image. Then we present the general topological asymptotic analysis, and we finally introduce its application to the grey-level image classification problem.
A topological invariant arising in the stability analysis of travelling waves.
A topological structure of solution sets to evolution systems
A Tour Through -invariants: from Nash’s Embedding Theorem to Ideal Immersions, Best Ways of Living and Beyond
A trace formula for resonances and application to semi-classical Schrödinger operators
On décrit une formule de trace [S] pour les résonances, qui est valable en toute dimension et pour les perturbations à longue portée du Laplacien. On établit une nouvelle application à l’éxistence de nombreuses résonances pour des opérateurs de Schrödinger semi-classiques.
A trace theorem for caloric functions.
A transient density-dependent diffusion-reaction model for the limitation of antibiotic penetration in biofilms.
A Transmission Strategy for Hyperbolic Internal Waves of Small Width
Semilinear hyperbolic problems with source terms piecewise smooth and discontinuous across characteristic surfaces yield similarly piecewise smooth solutions. If the discontinuous source is replaced with a smooth transition layer, the discontinuity of the solution is replaced by a smooth internal layer. In this paper we describe how the layer structure of the solution can be computed from the layer structure of the source in the limit of thin layers. The key idea is to use a transmission problem...
A triangular mixed finite element method for the stationary semiconductor device equations
A tribute to Bernard Bolzano
A two parameters Ambrosetti-Prodi problem.
A two-dimensional inverse heat conduction problem for estimating heat source.
A two-dimensional Landau-Lifshitz model in studying thin film micromagnetics.