On the Relation between Coefficient and Boundary Values for Solutions of Webster’s Horn Equation
From MaRDI portal
Publication:3766155
DOI10.1137/0517099zbMath0629.35009OpenAlexW1979537235MaRDI QIDQ3766155
Publication date: 1986
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0517099
Sobolev spacesseismologycontinuous dependencelayered systemslinear acoustic wave equationplane wave propagationWebster's horn equationperturbational techniques
Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Waves and radiation in optics and electromagnetic theory (78A40)
Related Items
Sidewise profile control of 1-D waves, Reconstruction of blocky impedance profiles from normal-incidence reflection seismograms which are band-limited and miscalibrated, High-frequency perturbational analysis of the surface point-source response of a layered fluid, On the sensitivity of solutions of hyperbolic, Numerical algorithm based on transmutation for solving inverse wave equation, Uniqueness for a hyperbolic inverse problem with angular control on the coefficients, The fixed angle scattering problem and wave equation inverse problems with two measurements, Potential inversion from transmission data for the one-dimensional, wave equation, Impedance inversion from transmission data for the wave equation, On the uniquencess of a multidimensional hyperbolic inverse problem, Optimal design of minimally reflective coatings, Uniqueness and continuous dependence for a multidimensional hyperbolic inverse problem