On the frictionless unilateral contact of two viscoelastic bodies.
On the function and the heat equation
On the Functional Dimension of Solution Spaces of Hypoelliptic Partial Differential Operators.
On the functoriality of stratified desingularizations.
On the functors Ext¹(E,F) for Fréchet spaces
On the "Fundamental Principle" of L. Ehrenpreis
On the fusion problem for degenerate elliptic equations II
Let be a relatively closed subset of a Euclidean domain . We investigate when solutions to certain elliptic equations on are restrictions of solutions on all of . Specifically, we show that if is not too large, and has a suitable decay rate near , then can be so extended.
On the -convergence of Morrey operators
Following Morrey [14] we associate to any measurable symmetric matrix valued function such that
On the generalized Fourier transforms associated with Schrödinger operators with long-range perturbations.
On the Generalized Korteweg-De Vries Equation.
On the generalized Maxwell-Bloch equations.
On the generic spectrum of a riemannian cover
Let be a compact manifold let be a finite group acting freely on , and let be the (Fréchet) space of -invariant metric on . A natural conjecture is that, for a generic metric in , all eigenspaces of the Laplacian are irreducible (as orthogonal representations of ). In physics terminology, no “accidental degeneracies” occur generically. We will prove this conjecture when dim dim for all irreducibles of . As an application, we construct isospectral manifolds with simple eigenvalue...
On the genesis of the concept of covariant differentiation
The purpose of this paper is to reconsider the genesis of the concept of covariant differentiation, which is interpreted as arising out of two traditions running through 19th-century research work. While the first tradition, of an algebraic nature, was responsible for the “algorithmic” emergence of the concept, the second, analytical in character, was essentially concerned with the import of covariant differentiation as a broader kind of differentiation. The methodological contrast that these two...
On the geometry of the Virasoro-Bott group.
On the Gevrey analyticity of solutions of semilinear perturbations of powers of the Mizohata operator.
On the Gevrey hypo-ellipticity of sums of squares of vector fields
The article studies a second-order linear differential operator of the type
On the Ginzburg-Landau and related equations
We describe qualitative behaviour of solutions of the Gross-Pitaevskii equation in 2D in terms of motion of vortices and radiation. To this end we introduce the notion of the intervortex energy. We develop a rather general adiabatic theory of motion of well separated vortices and present the method of effective action which gives a fairly straightforward justification of this theory. Finally we mention briefly two special situations where we are able to obtain rather detailed picture of the vortex...
On the Ginzburg-Landau energy with weight
On the Ginzburg–Landau model of a superconducting ball in a uniform field
On the global attractors for a class of semilinear degenerate parabolic equations
We prove the existence and upper semicontinuity with respect to the nonlinearity and the diffusion coefficient of global attractors for a class of semilinear degenerate parabolic equations in an arbitrary domain.