A blow-up mechanism for a chemotaxis model
A discrete phenomenon in propagation of singularities
A link between and analytic solvability for P.D.E. with constant coefficients
A New Proof of Okaji’s Theorem for a Class of Sum of Squares Operators
Let be a linear partial differential operator with analytic coefficients. We assume that is of the form “sum of squares”, satisfying Hörmander’s bracket condition. Let be a characteristic point for . We assume that lies on a symplectic Poisson stratum of codimension two. General results of Okaji show that is analytic hypoelliptic at . Hence Okaji has established the validity of Treves’ conjecture in the codimension two case. Our goal here is to give a simple, self-contained proof of...
A Note on Regular Points for Solutions of Elliptic Systems.
A sharp result on the poles localization for a Gevrey convex body
In this talk we extend to Gevrey-s obstacles with a result on the poles free zone due to J. Sjöstrand [8] for the analytic case.
Algèbres différentielles et problème de Goursat non linéaire à données irrégulières
Analytic and Gevrey Hypoellipticity
Analytic Hypo-Ellipticity and Propagation of Regularity for a System of Microdifferential Equations with Non-Involutory Characteristics.
Analytic semigroups generated on a functional extrapolation space by variational elliptic equations
We prove that any elliptic operator of second order in variational form is the infinitesimal generator of an analytic semigroup in the functional space consinsting of all derivatives of hölder-continuous functions in where is a domain in not necessarily bounded. We characterize, moreover the domain of the operator and the interpolation spaces between this and the space . We prove also that the spaces can be considered as extrapolation spaces relative to suitable non-variational operators....
Analytic Singularities and Microhyperbolic Boundary Value Problems.
Analytic Solutions of Some Nonlinear Diffusion Equations.
Analyticité locale pour les solutions de l'équation d'Euler
Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group
Analyzability in the context of PDEs and applications
Antilocality of complex powers of elliptic differential operators with analytic coefficients
Application of the approximate analytic prolongment to the boundary problems of the partial differential equations
Approximations of Sobolev maps between an open set and an Euclidean sphere, boundary data, and singularities.
Asymptotic solutions to Fuchsian equations in several variables
The aim of this paper is to construct asymptotic solutions to multidimensional Fuchsian equations near points of their degeneracy. Such construction is based on the theory of resurgent functions of several complex variables worked out by the authors in [1]. This theory allows us to construct explicit resurgent solutions to Fuchsian equations and also to investigate evolution equations (Cauchy problems) with operators of Fuchsian type in their right-hand parts.
Asymptotique des résonances pour des obstacles