Partial Differential Equations: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14–25, 1986

A. Bahri (auth.), Fernando Cardoso, Djairo G. de Figueiredo, Rafael Iório, Orlando Lopes (eds.)9780387501116, 0-387-50111-8

The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America. It has been held every other year since 1968 in a different country of the region, and its theme varies according to the areas of interest of local research groups. The subject of the 1986 school was Partial Differential Equations with emphasis on Microlocal Analysis, Scattering Theory and the applications of Nonlinear Analysis to Elliptic Equations and Hamiltonian Systems.

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Table of contents :
Critical points at infinity in the variational calculus….Pages 1-29
On the number of bound states and estimates on some geometric invariants….Pages 30-40
Convergence of solutions of capillo-viscoelastic perturbations of the equations of elasticity….Pages 41-52
Mathematical aspects of the minimum critical mass problem….Pages 53-64
Asymptotic time evolutions for strictly outgoing multiparticle quantum systems with long-range potentials….Pages 65-84
A “birkhoff-lewis” type result for non autonomous differential equations….Pages 85-96
Nonresonance near the first eigenvalue of a second order elliptic problem….Pages 97-104
Differential equations in the spectral parameter and multiphase similarity solutions….Pages 105-117
Recent results on semi-linear hyperbolic problems in bounded domains….Pages 118-126
Systems of homogeneous partial differential equations with few solutions….Pages 127-136
Introduction to multiplicity theory for boundary value problems with asymmetric nonlinearities….Pages 137-165
Regularity of solutions of cauchy problems with smooth cauchy data….Pages 166-177
Necessary and sufficient condition for maximal hypoellipticity of $$bar partial _b$$ ….Pages 178-185
Examples of non-discreteness for the interaction geometry of semilinear progressing waves in two space dimensions….Pages 186-196
On the cauchy problem for hyperbolic equations in C ∞ and gevrey classes….Pages 197-215
Positivity and stability for cauchy problems with delay….Pages 216-235
On the resonances and the inverse scattering problem for perturbed wave equations….Pages 236-244
Periodic solutions of prescribed energy of hamiltonian systems….Pages 245-252
Semi-Classical approximations in solid state physics….Pages 253-262
Microlocal analysis for inhomogeneous gevrey classes….Pages 263-269
Estimates on the number of resonances for semiclassical schrödinger operators….Pages 270-285
Heat-flow methods for harmonic maps of surfaces and applications to free boundary problems….Pages 286-292
Inverse boundary value problems….Pages 293-319
Scattering on the line — an overview….Pages 320-328
Microlocal cohomology in hypo-analytic structures….Pages 329-339
….Pages 340-433