zbMath0697.35004MaRDI QIDQ3996331
Peter D. Lax, Ralph S. Phillips
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
On spurious solutions encountered in Helmholtz scattering resonance computations in \(\mathbb{R}^d\) with applications to nano-photonics and acoustics,
Wavenumber-explicit convergence of the \(hp\)-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients,
Dispersion estimates for discrete Schrödinger and Klein–Gordon equations,
Representations of Lie algebras by non-skewselfadjoint operators in Hilbert space,
Dissipative and nonunitary solutions of operator commutation relations,
On nonlinear Schrödinger equations in exterior domains,
The elastic echo problem,
Analyticity of the scattering operator for semilinear dispersive equations,
Unnamed Item,
Global Strichartz estimates for solutions to the wave equation exterior to a convex obstacle,
Energy decay rates for solutions of the wave equation with linear damping in exterior domain,
The scattering theory of C. Wilcox in elasticity,
Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations,
Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk,
Von Neumann indices and classes of positive definite functions,
An extended Krylov subspace model-order reduction technique to simulate wave propagation in unbounded domains,
Landau equation for very soft and Coulomb potentials near maxwellians,
Semiclassical estimates of the cut-off resolvent for trapping perturbations,
Reflection positivity via Krein space analysis,
On spurious solutions in finite element approximations of resonances in open systems,
On \(A\)-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory,
Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\),
Spectral operators generated by damped hyperbolic equations,
Beurling-Lax type theorems and Cuntz relations,
Computing the sound of the sea in a seashell,
Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions,
Mathematical modeling of the photoacoustic effect generated by the heating of metallic nanoparticles,
Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions,
Scattering theory for 0-perturbed \(\mathcal{PT}\)-symmetric operators,
Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances,
On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations,
Thermo- and Photoacoustic Tomography with Variable Speed and Planar Detectors,
Adaptive orthonormal systems for matrix-valued functions,
Multidimensional circuit synthesis and multivariable dilation theory,
Global properties of the wave equation on non-globally hyperbolic manifolds.,
Commuting operators over Pontryagin spaces with applications to system theory,
Global parametrices and dispersive estimates for variable coefficient wave equations,
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances,
Resonance expansions of propagators in the presence of potential barriers.,
Resonant rigidity of \(S^2\),
On uniqueness in the general inverse transmisson problem,
Inverse scattering with disjoint source and observation sets on asymptotically hyperbolic manifolds,
Approximate acoustic cloaking in inhomogeneous isotropic space,
Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017,
The scattering operator on asymptotically hyperbolic manifolds,
Resonances for a semi-classical Schrödinger operator near a non trapping energy level,
Quasimodes and resonances: sharp lower bounds,
On the Lax-Phillips scattering matrix of the abstract wave equation,
Tensor tomography on Cartan–Hadamard manifolds,
Relativistic internal time operator,
Nonselfadjoint operators generated by the equation of a nonhomogeneous damped string,
Resolvent estimates and local energy decay for hyperbolic equations,
On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles,
Remarks on the phaseless inverse uniqueness of a three-dimensional Schrödinger scattering problem,
Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass,
A quantitative Vainberg method for black box scattering,
A source time reversal method for seismicity induced by mining,
Spectral gaps without the pressure condition,
Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain,
Local Energy Decay for Several Evolution Equations on Asymptotically Euclidean Manifolds,
Invariant subspaces and representations of certain von Neumann algebras,
Dilations of semigroups of contractions through vessels,
Semilinear hyperbolic systems violating the null condition,
Scattering profile for global solutions of the energy-critical wave equation,
Sampling theorem for bandlimited Hardy space functions generated by Regge problem,
Singularities of the Scattering Kernel Related to Trapping Rays,
Hyperbolic trapped rays and global existence of quasilinear wave equations,
On the existence and the uniqueness of the solution of a fluid-structure interaction scattering problem,
Phaseless inverse uniqueness of a three-dimensional scattering problem of second type,
Unnamed Item,
On resonances generated by conic diffraction,
𝑊-Markov measures, transfer operators, wavelets and multiresolutions,
Radon transform on Sobolev spaces,
Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions,
Some remarks on resonances in even-dimensional Euclidean scattering,
Phillips symmetric operators and their extensions,
Wave decay on convex co-compact hyperbolic manifolds,
A note on decay rates of the local energy for wave equations with Lipschitz wavespeeds,
Effective limiting absorption principles, and applications,
Petites perturbations et équations d'Euler pour l'aéroélasticité,
Almost global existence for quasilinear wave equations in three space dimensions,
Radiation fields on Schwarzschild spacetime,
On the asymptotic behaviour of the solutions of the equations of linear elastodynamics in unbounded domains,
Inverse backscattering problem for the acoustic equation in even dimensions,
Recovering the total singularity of a conormal potential from backscattering data,
Unnamed Item,
Transmission eigenvalues and the Riemann zeta function in scattering theory for automorphic forms on Fuchsian groups of type I,
Weyl formula for the eigenvalues of the dissipative acoustic operator,
Estimates of holomorphic functions in zero-free domains,
Inverse scattering for critical semilinear wave equations,
Kato Smoothing Effect for Schrödinger Operator,
Scattering theory for the elastic wave equation in perturbed half-spaces,
Decompositions of high-frequency Helmholtz solutions and application to the finite element method,
On the scattering length spectrum for real analytic obstacles,
Inégalités de résolvante pour l’opérateur de Schrödinger avec potentiel multipolaire critique,
Global existence for a quasilinear wave equation outside of star-shaped domains,
LpEstimates for the wave equation with a potential,
Scattering systems with several evolutions and formal reproducing kernel Hilbert spaces,
Diagonalizing operators with reflection symmetry,
On the stability of time-domain integral equations for acoustic wave propagation,
Finite propagation speed and kernel estimates for Schrödinger operators,
Computation of scattering poles using boundary integrals,
On the meromorphic continuation of Eisenstein series,
Computing scattering resonances,
Quantum-Mechanical Scattering Problem in Lobachevsky Space at Low Energies,
Szegő condition, scattering, and vibration of Krein strings,
A note on local energy decay results for wave equations with a potential,
Diffraction for the Dirac-Coulomb propagator,
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?,
Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022,
L2-blowup estimates of the wave equation and its application to local energy decay,
Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method,
Exponential time‐decay for a one‐dimensional wave equation with coefficients of bounded variation,
A WKB formula for echoes,
Asymptotic behavior of stationary solutions to elastic wave equations in a perturbed half‐space in ℝ3,
Inverse scattering of Alfvén waves in three dimensional ideal magnetohydrodynamics,
Spatial asymptotics of Green’s function for elliptic operators and applications: a.c. spectral type, wave operators for wave equation,
Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials,
Systems, scattering and operators, and their connections with number theory,
A duality between scattering poles and transmission eigenvalues in scattering theory,
An adelic causality problem related to abelian \(L\)-functions.,
Inverse backscattering for the elastic wave equations,
High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis,
Distribution of Resonances in Scattering by Thin Barriers,
Radiation fields for semilinear wave equations,
On the S-matrix of Schrödinger operator with nonlocal δ-interaction,
Energy scales and black hole pseudospectra: the structural role of the scalar product,
Pseudospectrum and binary black hole merger transients