For non-smooth compact obstacles, the cut-off resolvent norm of the Laplacian in the Helmholtz scattering problem can grow arbitrarily fast at a sequence of wavenumbers.
Burq, D´ ecroissance de l’´ energie locale de l’´ equation des ondes pour le probl` eme ext´ erieur et absence de r´ esonance au voisinage du r´ eel, Acta Math., 180 (1998), pp
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The cut-off resolvent can grow arbitrarily fast in obstacle scattering
For non-smooth compact obstacles, the cut-off resolvent norm of the Laplacian in the Helmholtz scattering problem can grow arbitrarily fast at a sequence of wavenumbers.