Sharp nonexistence results for a linear elliptic inequality involving Hardy and Leray potentials.
Short-time Asymptotics of the two-Dimensional wave Equation for an Annular Vibrating Membrane with Piecewise smooth Boundary Conditions
Sign-changing solutions for nonlinear elliptic problems depending on parameters.
Simulation of continuously deforming parabolic problems by Galerkin finite-elements method.
Singular integral operators with non-smooth kernels on irregular domains.
Let χ be a space of homogeneous type. The aims of this paper are as follows.i) Assuming that T is a bounded linear operator on L2(χ), we give a sufficient condition on the kernel of T such that T is of weak type (1,1), hence bounded on Lp(χ) for 1 < p ≤ 2; our condition is weaker then the usual Hörmander integral condition.ii) Assuming that T is a bounded linear operator on L2(Ω) where Ω is a measurable subset of χ, we give a sufficient condition on the kernel of T so that T is of weak type...
Singularities of eddy current problems
We consider the time-harmonic eddy current problem in its electric formulation where the conductor is a polyhedral domain. By proving the convergence in energy, we justify in what sense this problem is the limit of a family of Maxwell transmission problems: Rather than a low frequency limit, this limit has to be understood in the sense of Bossavit [11]. We describe the singularities of the solutions. They are related to edge and corner singularities of certain problems for the scalar Laplace operator,...
Singularities of eddy current problems
We consider the time-harmonic eddy current problem in its electric formulation where the conductor is a polyhedral domain. By proving the convergence in energy, we justify in what sense this problem is the limit of a family of Maxwell transmission problems: Rather than a low frequency limit, this limit has to be understood in the sense of Bossavit [11]. We describe the singularities of the solutions. They are related to edge and corner singularities of certain problems for the scalar Laplace...
Singularities of Maxwell interface problems
Singularities of Maxwell interface problems
We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and the permittivity ε are piecewise constant. The associated boundary value problem can be interpreted as a transmission problem. In a very natural way the interfaces can have edges and corners. We give a detailed description of the edge and corner singularities of the electromagnetic fields.
Singularities of wave fronts at the boundary between two media
Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions
We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph is studied. The hyperbolic equation becomes degenerate on a part of the graph as a small parameter goes to zero. In addition, the rates of degeneration may differ in different edges of the graph. Using the boundary layer method the complete asymptotic...
Slowly oscillating solutions of a parabolic inverse problem: boundary value problems.
Small random perturbations of infinite dimensional dynamical systems and nucleation theory
Smoothness and analycity for solutions of first order systems of partial differential equations on nilpotent Lie groups.
Sobolev solution for semilinear PDE with obstacle under monotonicity condition.
Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique.
Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise.
Soliton type asymptotic solutions of the conserved phase field system.
Solitonová řešení a metoda obráceného rozptylu
Solution of Stefan problems by fully discrete linear schemes.