Results 11 to 20 of about 1,175 (77)
Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020 Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley +1 more source
Advanced Nonlinear Studies, 2022 For studying the evolution of the transverse deflection of an extensible beam derived from the connection mechanics, we investigate the initial boundary value problem of nonlinear extensible beam equation with linear strong damping term, nonlinear weak ...
Yang Chao +3 more
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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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Reconstructing The Moore-Gibson-Thompson Equation
Nonautonomous Dynamical Systems, 2020 We are concerned with the inverse problem of recovering a third order Moore-Gibson-Thompson equation from a single observation of its solution at an arbitrary point.
Al-Khulaifi Waled, Boumenir Amin
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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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Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions
Advances in Nonlinear Analysis, 2023 In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions.
Park Sun-Hye
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Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers
Forum of Mathematics, Pi, 2021 The article studies inverse problems of determining unknown coefficients in various semi-linear and quasi-linear wave equations given the knowledge of an associated source-to-solution map.
Ali Feizmohammadi +2 more
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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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Advances in Nonlinear Analysis, 2021 We study the wave inequality with a Hardy ...
Jleli Mohamed +2 more
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On Carleman and observability estimates for wave equations on time‐dependent domains
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019 Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley +1 more source