Compactness of the set of solutions to elliptic equations in 2 dimensions
Samy Skander Bahoura
doaj
A nonlocal West Nile virus model with nonlocal free boundary conditions driven by both mosquitoes and birds. [PDF]
Long X, Lou Y, Ni W, Yi T.
europepmc +1 more source
Schauder estimates for parabolic p$p$‐Laplace systems
Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein +4 more
wiley +1 more source
The fractional Lipschitz caloric capacity of Cantor sets
Abstract We characterize the s$s$‐parabolic Lipschitz caloric capacity of corner‐like s$s$‐parabolic Cantor sets in Rn+1$\mathbb {R}^{n+1}$ for 1/2
Joan Hernández
wiley +1 more source
Accelerated Stochastic Conjugate Gradient for a class of convex optimization. [PDF]
He L, Du Y.
europepmc +1 more source
Coding and anticoding of a cardinal by bounded subsets of the cardinal
Abstract This paper will consider combinatorial properties related to coding a cardinal by its bounded subsets. These properties have traditionally been studied in the context of very large cardinals and variations of these properties either reach the level of Kunen inconsistency or are very close to it.
William Chan
wiley +1 more source
Gradient regularity for widely degenerate elliptic partial differential equations. [PDF]
Strunk M.
europepmc +1 more source
The weak (1,1) boundedness of Fourier integral operators with complex phases
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley +1 more source
A novel distributed gradient algorithm for composite constrained optimization over directed network. [PDF]
Ou M, Zhang H, Yan Z, Yang Z, Ran H.
europepmc +1 more source
Harmonic maps to the circle with higher dimensional singular set
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley +1 more source

