Results 21 to 30 of about 15,411,558 (330)
Higher-dimensional linking integrals [PDF]
10 pages, 3 ...
Shonkwiler, Clayton +1 more
openaire +3 more sources
Higher integrability for parabolic systems with Orlicz growth [PDF]
We prove higher integrability of the spatial gradient of weak solutions to parabolic systems with $\phi$-growth, where $\varphi=\varphi(t)$ is a general Orlicz function. The parabolic systems need be neither degenerate nor singular.
P. Hasto, J. Ok
semanticscholar +1 more source
Higher integrability for nonlinear nonlocal equations with irregular kernel [PDF]
We prove a higher regularity result for weak solutions to nonlinear nonlocal equations along the integrability scale of Bessel potential spaces $H^{s,p}$ under a mild continuity assumption on the kernel.
Simon Nowak
semanticscholar +1 more source
Higher-Dimensional Box Integrals [PDF]
Herein, with the aid of substantial symbolic computation, we solve previously open problems in the theory of n-dimensional box integrals Bn (s) := ∊ [0, 1] n . In particular, we resolve an elusive integral called K 5 that previously acted as a “blockade” against closed-form evaluation in n = 5 dimensions.
Borwein, Jonathan M. +2 more
openaire +2 more sources
Bifurcations of Liouville tori of coupled sextic anharmonic oscillators
In the current paper, the problem of sextic anharmonic oscillators is investigated. There are three integrable cases of this problem. Emphasis is placed on two integrable cases, and a full description of each one is provided.
Fawzy M El-Sabaa +3 more
doaj +1 more source
Higher integrability results from reverse inequalities for the Hardy- Littlewood maximal function and the Stein-Fefferman sharp function are deduced. A very useful tool in the proofs is the notion of nonincreasing rearrangement of a function, due to Hardy-Littlewood.
FRANCIOSI, MICHELANGELO +1 more
openaire +2 more sources
Higher integrability for obstacle problem related to the singular porous medium equation
In this paper we study the self-improving property of the obstacle problem related to the singular porous medium equation by using the method developed by Gianazza and Schwarzacher (J. Funct. Anal. 277(12):1–57, 2019).
Qifan Li
doaj +1 more source
On factorized overlaps: Algebraic Bethe Ansatz, twists, and separation of variables
We investigate the exact overlaps between eigenstates of integrable spin chains and a special class of states called “integrable initial/final states”.
Tamás Gombor, Balázs Pozsgay
doaj +1 more source
Generalized integrability conditions and target space geometry [PDF]
In some higher dimensional nonlinear field theories integrable subsectors with infinitely many conservation laws have been identified by imposing additional integrability conditions.
Adam +17 more
core +1 more source
Global higher integrability of weak solutions of porous medium systems [PDF]
We establish higher integrability up to the boundary for the gradient of solutions to porous medium type systems, whose model case is given by \begin{equation*} \partial_t u-\Delta(|u|^{m-1}u)=\mathrm{div}\,F\,, \end{equation*} where $m>1$.
Kristian Moring +3 more
semanticscholar +1 more source

