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A unified approach to resolvent expansions at thresholds
Results are obtained on resolvent expansions around zero energy for Schrödinger
operators H=-Δ+ V (x) on L2 (R m), where V (x) is a sufficiently rapidly decaying real …
operators H=-Δ+ V (x) on L2 (R m), where V (x) is a sufficiently rapidly decaying real …
On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as t→∞ of solutions of non-stationary problems
In this paper we study the Cauchy problem and boundary-value problem of general form in
the exterior of a compact set for hyperbolic operators L whose coefficients depend only on x …
the exterior of a compact set for hyperbolic operators L whose coefficients depend only on x …
Gravitational wave signatures of black hole quasinormal mode instability
Black hole (BH) spectroscopy has emerged as a powerful approach to extracting spacetime
information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) …
information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) …
Pseudospectrum of Reissner-Nordström black holes: Quasinormal mode instability and universality
Black hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact
objects and their environment. The observation of multiple ringdown modes in gravitational …
objects and their environment. The observation of multiple ringdown modes in gravitational …
[کتاب][B] Asymptotic methods in equations of mathematical physics
B Vainberg - 2024 - books.google.com
This book provides a single source for both students and advanced researchers on
asymptotic methods employed in the linear problems of mathematical physics. It opens with …
asymptotic methods employed in the linear problems of mathematical physics. It opens with …
Energy scales and black hole pseudospectra: the structural role of the scalar product
A pseudospectrum analysis has recently provided evidence of a potential generic instability
of black hole (BH) quasinormal mode (QNM) overtones under high-frequency perturbations …
of black hole (BH) quasinormal mode (QNM) overtones under high-frequency perturbations …
Mathematical study of scattering resonances
Mathematical study of scattering resonances | Bulletin of Mathematical Sciences Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …
Asymptotic expansions in time for solutions of Schrödinger-type equations
M Murata - Journal of Functional Analysis, 1982 - Elsevier
Abstract Let− iA=− i (p (D)+ V) be a dissipative operator in L 2 (R n), where p (D) is an elliptic
differential operator of order m with real constant coefficients and V is a compact operator …
differential operator of order m with real constant coefficients and V is a compact operator …
[PDF][PDF] Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in L2 (R4)
We consider Schrodinger operators H=-A+ V in L2 (R4), where V (x)= 0 (1x1-4) as 1x1--t 00
for some/3> 2. Some local singularities are permitted, except in the last section of the paper …
for some/3> 2. Some local singularities are permitted, except in the last section of the paper …
Hyperboloidal slicing approach to quasinormal mode expansions: The Reissner-Nordström case
We study quasinormal modes of black holes, with a focus on resonant (or quasinormal
mode) expansions, in a geometric frame based on the use of conformal compactifications …
mode) expansions, in a geometric frame based on the use of conformal compactifications …