Micro-Local Analysis in Some Spaces of Ultradistributions
Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity.
Microlocal boundary value problem in higher codimensions
Microlocal operators with plurisubharmonic growth
Microlocal properties of a class of pseudodifferential operators with double involutive characteristics
Microlocal tempered inverse image and Cauchy problem.
Microlocalisation et estimations pour
Microlocalisation simultanée et problème de Cauchy ramifié
Microlocalisation simultanée et problème de Cauchy ramifié
Microlocalisation tempérée. Application aux distributions holonomes sur une variété complexe
Microlocalization of resonant states and estimates of the residue of the scattering amplitude
We obtain some microlocal estimates of the resonant states associated to a resonance of an -differential operator. More precisely, we show that the normalized resonant states are
Micro-support and Cauchy problem for temperate solutions of regular -modules.
Minimal surfaces PDE as a Monge-Ampère type equation.
Mixed interface problems for anisotropic elastic bodies.
Monge-Ampère equationsviewed from contact geometry
Monogenic functions on surfaces.
Monotone method for nonlineer nonlocal hyperbolic problems.
Monotone operators. A survey directed to applications to differential equations
The paper deals with the existence of solutions of the form with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions and . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition . The second part which has a character of a survey compares various types of...
Moving mesh for the axisymmetric harmonic map flow
We build corotational symmetric solutions to the harmonic map flow from the unit disc into the unit sphere which have constant degree. First, we prove the existence of such solutions, using a time semi-discrete scheme based on the idea that the harmonic map flow is the -gradient of the relaxed Dirichlet energy. We prove a partial uniqueness result concerning these solutions. Then, we compute numerically these solutions by a moving-mesh method which allows us to deal with the singularity at the...
Moving mesh for the axisymmetric harmonic map flow
We build corotational symmetric solutions to the harmonic map flow from the unit disc into the unit sphere which have constant degree. First, we prove the existence of such solutions, using a time semi-discrete scheme based on the idea that the harmonic map flow is the L2-gradient of the relaxed Dirichlet energy. We prove a partial uniqueness result concerning these solutions. Then, we compute numerically these solutions by a moving-mesh method which allows us to deal with the singularity at the...