Partial Differential Operators

Critical points at infinity in the variational calculus.- On the number of bound states and estimates on some geometric invariants.- Convergence of solutions of capillo-viscoelastic perturbations of the equations of elasticity.- Mathematical aspects of the minimum critical mass problem.- Asymptotic time evolutions for strictly outgoing multiparticle quantum systems with long-range potentials.- A "birkhoff-lewis" type result for non autonomous differential equations.- Nonresonance near the first eigenvalue of a second order elliptic problem.- Differential equations in the spectral parameter and multiphase similarity solutions.- Recent results on semi-linear hyperbolic problems in bounded domains.- Systems of homogeneous partial differential equations with few solutions.- to multiplicity theory for boundary value problems with asymmetric nonlinearities.- Regularity of solutions of cauchy problems with smooth cauchy data.- Necessary and sufficient condition for maximal hypoellipticity of .- Examples of non-discreteness for the interaction geometry of semilinear progressing waves in two space dimensions.- On the cauchy problem for hyperbolic equations in C? and gevrey classes.- Positivity and stability for cauchy problems with delay.- On the resonances and the inverse scattering problem for perturbed wave equations.- The initial value problem for euler and navier-stokes equations in L s p (?2).- Periodic solutions of prescribed energy of hamiltonian systems.- Semi-Classical approximations in solid state physics.- Microlocal analysis for inhomogeneous gevrey classes.- Estimates on the number of resonances for semiclassical schrödinger operators.- Heat-flow methods for harmonic maps of surfaces and applications to free boundary problems.- Inverse boundary valueproblems.- Scattering on the line - an overview.- Microlocal cohomology in hypo-analytic structures.