Results 11 to 20 of about 1,145 (77)

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

An accurate and efficient local one-dimensional method for the 3D acoustic wave equation

open access: yesDemonstratio Mathematica, 2022
We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations ...
Wu Mengling, Jiang Yunzhi, Ge Yongbin
doaj   +1 more source

Inverse problems for nonlinear hyperbolic equations with disjoint sources and receivers

open access: yesForum 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
doaj   +1 more source

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

open access: yesAdvances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed   +2 more
doaj   +1 more source

Diverse solitary wave solutions of fractional order Hirota-Satsuma coupled KdV system using two expansion methods

open access: yesAlexandria Engineering Journal, 2023
The generalized Hirota-Satsuma coupled KdV system with fractional-order derivative plays a significant role to simulate the interaction of nearby identical-weight particles in a crystal lattice structure, two long waves interaction with different ...
H.M. Shahadat Ali   +4 more
doaj   +1 more source

Improved time-decay for a class of scaling critical electromagnetic Schr\"odinger flows [PDF]

open access: yes, 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
core   +2 more sources

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