On the diffraction of waves by conical singularities. I
From MaRDI portal
Publication:3040201
DOI10.1002/cpa.3160350302zbMath0526.58049OpenAlexW4245954021MaRDI QIDQ3040201
Jeff Cheeger, Michael E. Taylor
Publication date: 1982
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160350302
Laplace operatorDirichlet and Neumann boundary conditionsasymptotic behavior scattering amplitudekernel of the heat and wave equations
Related Items
The fundamental solutions of the heat equations on Riemannian spaces with cone-like singular points, Dispersive estimates for 2D-wave equations with critical potentials, Scattering theory for Schrödinger operators with Bessel-type potentials, Contrôle de l'équation des ondes dans des ouverts comportant des coins, FORMULE DE TRACE SEMI-CLASSIQUE SUR UNE VARIETE DE DIMENSION 3 AVEC UN POTENTIEL DE DIRAC, On non-diffractive cones, Restriction estimates in a conical singular space: wave equation, A new frequency-uniform coercive boundary integral equation for acoustic scattering, Complete Mellin and Green symbolic calculus in spaces with conormal asymptotics, The diffractive wave trace on manifolds with conic singularities, Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering, Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications, Krein formula and \(S\)-matrix for Euclidean surfaces with conical singularities, On diffraction of high-frequency waves by a cone of arbitrary shape. Neumann case, The radiation field on product cones, The Riesz transformation on conical varieties, Harmonic maps on spaces with conical singularities, Pointwise Fourier inversion: A wave equation approach, Ricci Bounds for Euclidean and Spherical Cones, Electromagnetic scattering by a plane angular sector. I: Diffraction coefficients of the spherical wave from the vertex, The Neumann isospectral problem for trapezoids, Restriction estimates in a conical singular space: Schrödinger equation, Resolvents and complex powers of semiclassical cone operators, Diffraction for the Dirac-Coulomb propagator, Note on Strichartz inequalities for the wave equation with potential, Scattering resonances on truncated cones, Heat kernel estimate in a conical singular space, The index formula for families of Dirac type operators on pseudomanifolds, Uniform resolvent estimates for Laplace-Beltrami operator on the flat Euclidean cone, Riesz transformations on a class of manifolds with conical singularities, Hölder continuity of the heat semigroup on conic manifolds, Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential, Finite propagation speed for solutions of the wave equation on metric graphs, \(L_p\)-estimates of the wave equation on varieties with a conic singularity, Asymptotic properties of the heat kernel on conic manifolds, Acoustic scattering of a plane wave by a circular penetrable cone, Propagation of singularities for the wave equation on edge manifolds, Spectral decomposition of square-tiled surfaces, A quantitative Vainberg method for black box scattering, Diffractive propagation on conic manifolds, Acoustic scattering by a circular semi-transparent conical surface, Scattering of acoustic waves by a sector, Strichartz estimates for the Schrödinger equation on~polygonal domains, STRICHARTZ ESTIMATES FOR WAVE EQUATION WITH INVERSE SQUARE POTENTIAL, Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers, Diffraction of plane waves by conical obstacles, On resonances generated by conic diffraction, Diffraction of scalar waves by an impedance cone of arbitrary cross-section., Stratified spaces and synthetic Ricci curvature bounds, The fundamental solution and Strichartz estimates for the Schrödinger equation on flat Euclidean cones, Strichartz estimates and wave equation in a conic singular space, Propagation des ondes dans les dièdres, The Riesz transform for homogeneous Schrödinger operators on metric cones, Classical and quantum dynamics of a particle in a narrow angle, Diffraction of the Aharonov-Bohm Hamiltonian, Resolvent and spectral measure for Schrödinger operators on flat Euclidean cones, Recurrence relations for heat kernels on spheres, Decay and Strichartz estimates in critical electromagnetic fields, Trace formula on a Euclidean surface with conical singularities, The far field asymptotics in the problem of diffraction of an acoustic plane wave by an impedance cone, Propagation of polyhomogeneity, diffraction, and scattering on product cones, Contribution of periodic diffractive geodesics, Estimations of the heat kernel on conic manifolds and applications, Linear Restriction Estimates for Schrödinger Equation on Metric Cones, Decay Estimates of Solutions to Wave Equations in Conical Sets, Pointwise dispersive estimates for Schrödinger operators on product cones
Cites Work
