New criterion for existence and completeness of wave operators and applications to scattering by unbounded obstacles
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Publication:3941780
DOI10.1080/03605308108820209zbMath0483.35068OpenAlexW2084001990MaRDI QIDQ3941780
Ricardo Weder, Jean-Michel Combes
Publication date: 1981
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308108820209
Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
- A new criterion for scattering theory
- On the Cook-Kuroda criterion in scattering theory
- Wave operators for pairs of spaces and the Klein-Gordon equation
- Scattering theory for the d'Alembert equation in exterior domains
- The existence of wave operators in scattering theory
- On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems
- Scattering theory and quadratic forms: On a theorem of Schechter
- A generalization of the Birman trace theorem
- Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
- Scattering theory for systems with different spatial asymptotics on the left and right
- On the break-down of completeness of wave operators in potential scattering
- Phase space analysis of simple scattering systems: extensions of some work of Enss
- Asymptotic behalrior of the scattering phase for exterior domains
