Results 131 to 140 of about 1,120,275 (201)

A new approach to weighted Sobolev spaces. [PDF]

Mon Hefte Math
Kebiche D.
europepmc   +1 more source

Uniformization of cofat domains on metric two‐spheres

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We extend Schramm's cofat uniformization theorem to cofat domains on upper Ahlfors 2‐regular metric two‐spheres X$X$. Specifically, we show that if Ω⊂X$\Omega \subset X$ is a cofat domain, then there exists a π2$\frac{\pi }{2}$‐quasiconformal homeomorphism f:Ω→D$f: \Omega \rightarrow D$ onto a circle domain D⊂S2$D \subset \mathbb {S}^2 ...
Chengxi Li, Kai Rajala
wiley   +1 more source

Sobolev and Hardy-Sobolev spaces on graphs

, 2012
Let $\Gamma$ be a graph. Under suitable geometric assumptions on $\Gamma$, we give several equivalent characterizations of Sobolev and Hardy-Sobolev spaces on $\Gamma$, in terms of maximal functionals, Haj\l asz type functionals or atomic decompositions.
Russ, Emmanuel, Turkawi, Maamoun
core   +1 more source

Fractional Sobolev spaces on Riemannian manifolds. [PDF]

Math Ann
Caselli M, Florit-Simon E, Serra J.
europepmc   +1 more source

A new approach for the analysis of evolution partial differential equations on a finite interval

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We show that, for certain evolution partial differential equations, the solution on a finite interval (0,ℓ)$(0,\ell)$ can be reconstructed as a superposition of restrictions to (0,ℓ)$(0,\ell)$ of solutions to two associated partial differential equations posed on the half‐lines (0,∞)$(0,\infty)$ and (−∞,ℓ)$(-\infty,\ell)$.
Türker Özsarı, Dionyssios Mantzavinos, Konstantinos Kalimeris   +2 more
wiley   +1 more source

L∞$L^\infty$ compactness of solutions of quasilinear problems and applications

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract For a (not necessarily smooth) bounded domain Ω$\Omega$ of RN$\mathbb {R}^N$, N⩾2$N \geqslant 2$ and a Carathéodory vector‐valued function a:Ω×RN→RN$a:\Omega \times \mathbb {R}^N \rightarrow \mathbb {R}^N$, we study the compactness of the inverse of the Leray–Lions operator A(u)=−div(a(x,∇u))$A(u)=-\text{div}(a(x, \nabla u))$, u∈W01,p(Ω)$u\in ...
D. Arcoya, M. C. M. Rezende, E. A. B. Silva   +2 more
wiley   +1 more source

Nonuniform Sobolev Spaces

We study nonuniform Sobolev spaces, i.e., spaces of functions whose partial derivatives lie in possibly different Lebesgue spaces. Although standard proofs do not apply, we show that nonuniform Sobolev spaces share similar properties as the classical ...
Sun, Wenchang, Chen, Ting, Grafakos, Loukas   +2 more
core  

Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima, Kotaro Hisa, Robert Laister   +2 more
wiley   +1 more source

Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity u ¯ 2 in Negative Sobolev Spaces. [PDF]

J Dyn Differ Equ
Liu R.
europepmc   +1 more source

Trace theory for parabolic boundary value problems with rough boundary conditions. [PDF]

J Evol Equ
Denk R, Roodenburg FB.
europepmc   +1 more source