Doubly nonlinear parabolic equations related to the -Laplacian operator: Semi-discretization.
Dual extremum principles for a homogeneous Dirichlet problem for a parabolic equation.
Duality in the spaces of solutions of elliptic systems
Dynamical instability of symmetric vortices.
Using the Maxwell-Higgs model, we prove that linearly unstable symmetric vortices in the Ginzburg-Landau theory are dynamically unstable in the H1 norm (which is the natural norm for the problem).In this work we study the dynamic instability of the radial solutions of the Ginzburg-Landau equations in R2 (...)
Dynamical model of viscoplasticity
This paper discusses the existence theory to dynamical model of viscoplasticity and show possibility to obtain existence of solution without assuming weak safe-load condition.
Dynamics of wave propagation and curvature of discriminants
For a Lagrange distribution of order zero we consider a quadratic integral which has logarithmic divergence at the singular locus of the distribution. The residue of the asymptotics is a Hermitian form evaluated in the space of positive distributions supported in the locus. An asymptotic analysis of the residue density is given in terms of the curvature form of the locus. We state a conservation law for the residue of the impulse-energy tensor of solutions of the wave equation which extends the...
Edge asymptotics on a skew cylinder: complex variable form
Editorial comment on the paper Huashui Zhan, Junning Zhao: Some remarks on Prandtl system
Effet régularisant microlocal analytique pour l’équation de Schrödinger
Eigenfunctions and fundamental solutions of the fractional two-parameter Laplacian.
Ein Funktionalanalytischer Beweis des Satzes von Cauchy-Kowalewsky.
Eine Variationsmethode für elliptische Differentialoperatoren mit strengen Nichtlinearitäten.
Einige Bemerkungen über eine Differenzenfunktionalgleichung.
Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation
Since matrix compression has paved the way for discretizing the boundary integral equation formulations of electromagnetics scattering on very fine meshes, preconditioners for the resulting linear systems have become key to efficient simulations. Operator preconditioning based on Calderón identities has proved to be a powerful device for devising preconditioners. However, this is not possible for the usual first-kind boundary formulations for electromagnetic...
Electromagnetic scattering at composite objects : a novel multi-trace boundary integral formulation
Since matrix compression has paved the way for discretizing the boundary integral equation formulations of electromagnetics scattering on very fine meshes, preconditioners for the resulting linear systems have become key to efficient simulations. Operator preconditioning based on Calderón identities has proved to be a powerful device for devising preconditioners. However, this is not possible for the usual first-kind boundary formulations for electromagnetic...
Elliptic boundary problems on spaces with conic points
Elliptic boundary value problems with nonvariational perturbation and the finite element method
Elliptic problems with integral diffusion
In this paper, we review several recent results dealing with elliptic equations with non local diffusion. More precisely, we investigate several problems involving the fractional laplacian. Finally, we present a conformally covariant operator and the associated singular and regular Yamabe problem.
Elliptic regularization and Navier-Stokes system.
Energies of -valued harmonic maps on polyhedra with tangent boundary conditions