Pseudo-Differential Operators : Proceedings of a Conference, held in Oberwolfach, February 2-8, 1986 (Lecture Notes in Mathematics, Volume 1256) （2008. 500 S. 235 mm）

Herausgeber: Cordes, Heinz O., Gramsch, Bernhard, Widom, Harold

SPRINGER, BERLIN（2008発売）

SPRINGER, BERLIN（2008発売）

• 製本 Paperback:紙装版/ペーパーバック版
• 商品コード 9783540178569

Description

(Table of content)
Interaction of radially smooth nonlinear waves.- Toeplitz operators and function theory in n-dimensions.- Index theory for regular singular operators and applications.- The Laplace comparison algebra of spaces with conical and cylindrical ends.- Weyl's formula for a class of pseudodifferential operators with negative order on L2(Rn).- Normal solvability of boundary value problems in half space.- A remark on Taniguchi-Kumanogo theorem for product of fourier integral operators.- On the analytic regularity of weak solutions of analytic systems of conservation laws with analytic data.- Complex powers of pseudo-differential boundary value problems with the transmission property.- Some spectral properties of periodic potentials.- The lifespan of classical solutions of non-linear hyperbolic equations.- Gevrey-hypoellipticity and pseudo-differential operators on Gevrey class.- Propagation of the second analytic wave front set along diffractive rays.- Boundary regularity for one-sided solutions of linear partial differential equations with analytic coefficients.- Estimates for the norm of pseudo-differential operators by means of Besov spaces.- On sufficient conditions for pseudo-differential operators to be Lp-bounded.- Spaces of weighted symbols and weighted sobolev spaces on manifolds.- Mellin expansions of pseudo-differential operators and conormal asymptotics of solutions.- Semiclassical resonances generated by non-degenerate critical points.- Remarks on an inverse boundary value problem.- Propagation of quasi-homogeneous microlocal singularities of solutions to nonlinear partial differential equations.- Selberg trace formulae, PDO's and equidistribution theorems for closed geodesics and laplace eigenfunctions.

Contents

Interaction of radially smooth nonlinear waves.- Toeplitz operators and function theory in n-dimensions.- Index theory for regular singular operators and applications.- The Laplace comparison algebra of spaces with conical and cylindrical ends.- Weyl's formula for a class of pseudodifferential operators with negative order on L2(Rn).- Normal solvability of boundary value problems in half space.- A remark on Taniguchi-Kumanogo theorem for product of fourier integral operators.- On the analytic regularity of weak solutions of analytic systems of conservation laws with analytic data.- Complex powers of pseudo-differential boundary value problems with the transmission property.- Some spectral properties of periodic potentials.- The lifespan of classical solutions of non-linear hyperbolic equations.- Gevrey-hypoellipticity and pseudo-differential operators on Gevrey class.- Propagation of the second analytic wave front set along diffractive rays.- Boundary regularity for one-sided solutions of linear partial differential equations with analytic coefficients.- Estimates for the norm of pseudo-differential operators by means of Besov spaces.- On sufficient conditions for pseudo-differential operators to be Lp-bounded.- Spaces of weighted symbols and weighted sobolev spaces on manifolds.- Mellin expansions of pseudo-differential operators and conormal asymptotics of solutions.- Semiclassical resonances generated by non-degenerate critical points.- Remarks on an inverse boundary value problem.- Propagation of quasi-homogeneous microlocal singularities of solutions to nonlinear partial differential equations.- Selberg trace formulae, PDO's and equidistribution theorems for closed geodesics and laplace eigenfunctions.