scientific article
From MaRDI portal
Publication:3019521
zbMath1228.35001MaRDI QIDQ3019521
Publication date: 28 July 2011
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
single and double layer potentialsDirichlet-to-Neumann operatorsAtiyah-Singer index theoremEhrenpreis-Malgrange theoremMaslov bundle
Pseudodifferential operators as generalizations of partial differential operators (35S05) Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Fourier integral operators applied to PDEs (35S30) Singularity in context of PDEs (35A21) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Wave front sets in context of PDEs (35A18) Parabolic equations and parabolic systems (35Kxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Related Items (56)
Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions ⋮ A sufficient condition for the Cauchy problem to be well-posed ⋮ Regularity of solutions of elliptic or parabolic problems with Dirac measures as data ⋮ Exact and approximate solutions to the Helmholtz, Schrödinger and wave equation in \(\mathbf{R}^3\) with radial data ⋮ On the nonlocal stabilization by starting control of the normal equation generated from the Helmholtz system ⋮ Liouville theorems for a general class of nonlocal operators ⋮ Minimal potential results for the Schrödinger equation in a slab ⋮ Lorentzian Calderón problem under curvature bounds ⋮ Unnamed Item ⋮ Inverse scattering without phase information ⋮ Global Identifiability of Low Regularity Fluid Parameters in Acoustic Tomography of Moving Fluid ⋮ Nonlocal stabilization by starting control of the normal equation generated by Helmholtz system ⋮ Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries ⋮ Scattering problems for perturbations of the multidimensional biharmonic operator ⋮ The direct and inverse scattering problem for the semilinear Schrödinger equation ⋮ Hawking radiation from acoustic black holes in two space dimensions ⋮ Inverse problems for general second order hyperbolic equations with time-dependent coefficients ⋮ Elliptic problems with boundary conditions of higher orders in Hörmander spaces ⋮ Inverse problem for a random Schrödinger equation with unknown source and potential ⋮ Error estimates for phaseless inverse scattering in the Born approximation at high energies ⋮ Stability analysis in magnetic resonance elastography. II. ⋮ Inverse Elastic Scattering for a Random Potential ⋮ Oriented degree of Fredholm maps: finite-dimensional reduction method ⋮ Boundary control for transport equations ⋮ Formulas for phase recovering from phaseless scattering data at fixed frequency ⋮ On the stability and spectral properties of the two-dimensional Brown-Ravenhall operator with a short-range potential ⋮ Asymptotic analysis of fundamental solutions of hypoelliptic operators ⋮ Variational Principles of Micromagnetics Revisited ⋮ Partial data inverse problems for quasilinear conductivity equations ⋮ Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds ⋮ On the harmonic extension approach to fractional powers in Banach spaces ⋮ Inverse problems for advection diffusion equations in admissible geometries ⋮ Functional properties of Hörmander's space of distributions having a specified wavefront set ⋮ Determining a random Schrödinger operator: both potential and source are random ⋮ Local solvability of elliptic equations of even order with Hölder coefficients ⋮ Recovery of the singularities of a potential from backscattering data in general dimension ⋮ Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds ⋮ Resolvent estimates for the magnetic Schrödinger operator in dimensions \(\ge 2\) ⋮ Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials ⋮ An iterative approach to monochromatic phaseless inverse scattering ⋮ On recent progress of single-realization recoveries of random Schrödinger systems ⋮ The double dispersion operator in backscattering: Hölder estimates and optimal Sobolev estimates for radial potentials ⋮ A New Convergent Algorithm to Approximate Potentials from Fixed Angle Scattering Data ⋮ Third-order corrections in periodic homogenization for elliptic problem ⋮ Behavior of null-geodesics in the interior of Reissner–Nordstrom black hole ⋮ Fixed Angle Scattering: Recovery of Singularities and Its Limitations ⋮ Non-scattering energies for acoustic-type equations on manifolds with a single flat end ⋮ An inverse scattering approach for geometric body generation: a machine learning perspective ⋮ Determining a Random Schrödinger Equation with Unknown Source and Potential ⋮ Low regularity ray tracing for wave equations with Gaussian beams ⋮ Difference Factorizations and Monotonicity in Inverse Medium Scattering for Contrasts with Fixed Sign on the Boundary ⋮ Phaseless inverse scattering with background information ⋮ Stability of the inverse source problem for the Helmholtz equation in R3 ⋮ Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems ⋮ Multidimensional inverse scattering for the Schrödinger equation ⋮ Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions
This page was built for publication:
