Results 11 to 20 of about 1,361 (131)

Transdermal drug delivery in horses: An in vitro comparison of skin structure and permeation of two model drugs at various anatomical sites

open access: yesVeterinary Dermatology, Volume 34, Issue 3, Page 235-245, June 2023., 2023
Background – Oral and parenteral drug delivery in horses can be difficult. Equine‐specific transdermal drug formulations offer improved ease of treatment; development of such formulations requires a deeper understanding of the structural and chemical tissue barrier of horse skin. Hypothesis/Objectives – To compare the structural composition and barrier
Samuel C. Bizley   +3 more
wiley   +1 more source

Analytic hypoellipticity of Keldysh operators

open access: yesProceedings 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
wiley   +1 more source

Large gap asymptotics for the generating function of the sine point process

open access: yesProceedings 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
wiley   +1 more source

Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability

open access: yesProceedings 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
wiley   +1 more source

E8 spectral curves

open access: yesProceedings 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

Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain

open access: yesAdvances in Applied Mathematics and Mechanics, 2020
This paper presents an absorbing boundary conditions (ABCs) for wave propagations on arbitrary computational domains. The purpose of ABCs is to eliminate the unwanted spurious reflection at the artificial boundaries and minimize the finite size effect ...
global sci
semanticscholar   +1 more source

Semiclassical resolvent estimates at trapped sets [PDF]

open access: yes, 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
core   +5 more sources

Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models

open access: yesAdvanced 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
doaj   +1 more source

Reconstructing The Moore-Gibson-Thompson Equation

open access: yesNonautonomous 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
doaj   +1 more source

Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method

open access: yesFixed Point Theory and Applications, 2013
In this paper, the local fractional variational iteration method is given to handle the damped wave equation and dissipative wave equation in fractal strings. The approximation solutions show that the methodology of local fractional variational iteration
Wei Su   +3 more
semanticscholar   +1 more source

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