Analyticité et itères d'un système de champs non elliptique
Analyticité locale pour les solutions de l'équation d'Euler
Analyticité microlocale et itères d'opérateurs
Analyticité précisée d'opérateurs intégraux
Analyticity and smoothing effect for the Schrödinger equation
Analyticity for certain solutions of non-hypoelliptic differential operators on the Heisenberg group
Analyticity for some degenerate one-dimensional evolution equations
We study the analyticity of the semigroups generated by some degenerate second order differential operators in the space C([α,β]), where [α,β] is a bounded real interval. The asymptotic behaviour and regularity with respect to the space variable are also investigated.
Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group
Analyticity of solutions and Kolmogorov's dissipation scale for 2D Navier-Stokes equations
Analyticity of the interface in a free boundary problem.
Analyticity of thermo-elastic semigroups with free boundary conditions
Analyzability in the context of PDEs and applications
Analyzing the dynamics of the forced Burgers equation.
Ancora sulla perturbazione delle disequazioni d'evoluzione paraboliche
Andrew Lenard: a mystery unraveled.
Anisotropic classes of homogeneous pseudodifferential symbols
We define homogeneous classes of x-dependent anisotropic symbols in the framework determined by an expansive dilation A, thus extending the existing theory for diagonal dilations. We revisit anisotropic analogues of Hörmander-Mikhlin multipliers introduced by Rivière [Ark. Mat. 9 (1971)] and provide direct proofs of their boundedness on Lebesgue and Hardy spaces by making use of the well-established Calderón-Zygmund theory on spaces of homogeneous type. We then show that x-dependent symbols in...
Anisotropic inverse problems and Carleman estimates
This note reports on recent results on the anisotropic Calderón problem obtained in a joint work with Carlos E. Kenig, Mikko Salo and Gunther Uhlmann [8]. The approach is based on the construction of complex geometrical optics solutions to the Schrödinger equation involving phases introduced in the work [12] of Kenig, Sjöstrand and Uhlmann in the isotropic setting. We characterize those manifolds where the construction is possible, and give applications to uniqueness for the corresponding anisotropic...
Anisotropic mesh adaption: application to computational fluid dynamics
In this communication we focus on goal-oriented anisotropic adaption techniques. Starting point has been the derivation of suitable anisotropic interpolation error estimates for piecewise linear finite elements, on triangular grids in . Then we have merged these interpolation estimates with the dual-based a posteriori error analysis proposed by R. Rannacher and R. Becker. As examples of this general anisotropic a posteriori analysis, elliptic, advection-diffusion-reaction and the Stokes problems...
Anisotropic mesh refinement in polyhedral domains: error estimates with data in L2(Ω)
The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dirichlet boundary condition in a three-dimensional domain. Anisotropic, graded meshes from a former paper are reused for dealing with the singular behaviour of the solution in the vicinity of the non-smooth parts of the boundary. The discretization error is analyzed for the piecewise linear approximation in the H1(Ω)- and L2(Ω)-norms by using a new quasi-interpolation operator. This new interpolant...
Anisotropic motion of a phase interface.