Results 1 to 10 of about 1,144 (44)
Semiclassical resolvent estimates at trapped sets [PDF]
, 2012 We extend our recent results on propagation of semiclassical resolvent estimates through trapped sets when a priori polynomial resolvent bounds hold. Previously we obtained non-trapping estimates in trapping situations when the resolvent was sandwiched ...
Datchev, Kiril, Vasy, András
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A note on the cone restriction conjecture in the cylindrically symmetric case [PDF]
, 2008 In this note, we present two arguments showing that the classical \textit{linear adjoint cone restriction conjecture} holds for the class of functions supported on the cone and invariant under the spatial rotation in all dimensions. The first is based on
Shao, Shuanglin
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Improved time-decay for a class of scaling critical electromagnetic Schr\"odinger flows [PDF]
, 2015 We consider a Schr\"odinger hamiltonian $H(A,a)$ with scaling critical and time independent external electromagnetic potential, and assume that the angular operator $L$ associated to $H$ is positive definite.
Fanelli, Luca +2 more
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On the existence of maximizers for a family of Restriction Theorems
, 2010 We prove the existence of maximizers for a general family of restrictions operators, up to the end-point.
Fanelli, Luca +2 more
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A necessary and sufficient condition on scattering for the regularly hyperbolic systems [PDF]
, 2010 The present paper is devoted to finding a necessary and sufficient condition on the occurence of scattering for the regularly hyperbolic systems with time-dependent coefficients whose time-derivatives are integrable over the real line. More precisely, it
Arosio +14 more
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Global attractors for the one dimensional wave equation with displacement dependent damping
, 2010 We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global ...
Arrietta +10 more
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Asymptotic parabolicity for strongly damped wave equations
, 2013 For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni +3 more
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A Simple Example of Localized Parametric Resonance for the Wave Equation [PDF]
, 2008 2000 Mathematics Subject Classification: 35L05, 35P25, 47A40.The problem studied here was suggested to us by V. Petkov. Since the beginning of our careers, we have benefitted from his insights in partial differential equations and mathematical physics ...
Colombini, Ferruccio, Rauch, Jeffrey
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, 2012 In this paper we consider a viscoelastic wave equation with a time-varying delay term, the coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we establish a general ...
Abdallah C. +7 more
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Electromagnetic source localization with finite set of frequency measurements [PDF]
, 2014 A phase conjugation algorithm for localizing an extended radiating electromagnetic source from boundary measurements of the electric field is presented. Measurements are taken over a finite number of frequencies.
Anjum, Saman +3 more
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