Results 41 to 50 of about 1,120,275 (201)

Elliptic Problems with Additional Unknowns in Boundary Conditions and Generalized Sobolev Spaces

Axioms, 2021
In generalized inner product Sobolev spaces we investigate elliptic differential problems with additional unknown functions or distributions in boundary conditions. These spaces are parametrized with a function OR-varying at infinity.
Anna Anop, Iryna Chepurukhina, Aleksandr Murach   +2 more
doaj   +1 more source

A Geometric Characterization of Steady Laminar Flow

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley   +1 more source

Fractional Orlicz-Sobolev spaces

, 2021
The optimal Orlicz target space and the optimal rearrangement-invariant tar- get space are exhibited for embeddings of fractional-order Orlicz-Sobolev spaces W^{s,A}(R^n). Related Hardy type inequalities are proposed as well.
Angela Alberico
core  

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

Mathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source

Trace principle for Riesz potentials on Herz-type spaces and applications

Journal of Inequalities and Applications
We establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters.
M. Ashraf Bhat, G. Sankara Raju Kosuru
doaj   +1 more source

Lp Smoothness on Weighted Besov–Triebel–Lizorkin Spaces in terms of Sharp Maximal Functions

Journal of Mathematics, 2021
It is known, in harmonic analysis theory, that maximal operators measure local smoothness of Lp functions. These operators are used to study many important problems of function theory such as the embedding theorems of Sobolev type and description of ...
Ferit Gürbüz, Ahmed Loulit
doaj   +1 more source

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

Sobolev Spaces [PDF]

, 2004
Fen Bilimleri Enstitüsü, Matematik Ana Bilim DalıBu çalışmada önce Sobolev uzayları ile ilgili temel kavram ve bilgiler verildi. Sobolev uzaylarının genel tanımı, çeşitleri ve diğer uzaylarla olan bağlantıları incelendi.
Toptaş, Murat
core   +1 more source

Elliptic operators on refined Sobolev scales on vector bundles

Open Mathematics, 2017
We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We
Zinchenko Tetiana
doaj   +1 more source

Boundedness of Composition Operators in Orlicz–Morrey Spaces

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we investigate the necessary and sufficient conditions for the boundedness of composition operators on Orlicz–Morrey spaces. Our results encompass Lebesgue and generalized Morrey spaces as special cases. In addition, we characterize the boundedness of composition operators on weak Orlicz–Morrey spaces, which include the Orlicz ...
Masahiro Ikeda, Isao Ishikawa, Ryota Kawasumi   +2 more
wiley   +1 more source