Results 11 to 20 of about 1,078 (81)
Analytic hypoellipticity of Keldysh operators
Proceedings of the London Mathematical Society, Volume 123, Issue 5, Page 498-516, November 2021., 2021 Abstract We consider Keldysh‐type operators, P=x1Dx12+a(x)Dx1+Q(x,Dx′), x=(x1,x′) with analytic coefficients, and with Q(x,Dx′) second order, principally real and elliptic in Dx′ for x near zero. We show that if Pu=f, u∈C∞, and f is analytic in a neighbourhood of 0, then u is analytic in a neighbourhood of 0.
Jeffrey Galkowski, Maciej Zworski
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Large gap asymptotics for the generating function of the sine point process
Proceedings of the London Mathematical Society, Volume 123, Issue 2, Page 103-152, August 2021., 2021 Abstract We consider the generating function of the sine point process on m consecutive intervals. It can be written as a Fredholm determinant with discontinuities, or equivalently as the convergent series ∑k1,…,km⩾0P∩j=1m#{pointsinthejthinterval}=kj∏j=1msjkj,where s1,…,sm∈[0,+∞). In particular, we can deduce from it joint probabilities of the counting
Christophe Charlier
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Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021 Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo +2 more
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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
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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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Lifespan of Classical Solutions to Quasilinear Wave Equations Outside of a Star-Shaped Obstacle in Four Space Dimensions [PDF]
J. Math.Pures Appl.103(2015), 2015 We study the initial-boundary value problem of quasilinear wave equations outside of a star-shaped obstacle in four space dimensions, in which the nonlinear term under consideration may explicitly depend on the unknown function itself. By some new $L^{\infty}_{t}L^{2}_{x}$ and weighted $L^{2}_{t,x}$ estimates for the unknown function itself, together ...
arxiv +1 more source
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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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
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Veterinary Dermatology, Volume 27, Issue 6, Page 478-e129, December 2016., 2016 Background – Pruritus is the hallmark clinical sign of atopic dermatitis (AD) in dogs. Lokivetmab, a caninized anti‐canine IL‐31 monoclonal antibody, reduced pruritus and associated inflammatory skin lesions in a proof of concept study in dogs with AD.
Gina M. Michels +7 more
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Scattering for strictly hyperbolic systems with time‐dependent coefficients
Mathematische Nachrichten, Volume 286, Issue 11-12, Page 1191-1207, August 2013., 2013 Abstract The present paper is devoted to finding conditions on the occurrence of scattering for strictly hyperbolic systems with time‐dependent coefficients whose time‐derivatives are in L1 in time. More precisely, it will be shown that the solutions are asymptotically free if the coefficients are stable in the sense that their improper Riemann ...
Tokio Matsuyama, Michael Ruzhansky
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