Results 71 to 80 of about 2,233 (221)

Division and extension in weighted Bergman-Sobolev spaces [PDF]

Publicacions Matemàtiques, 1992
Let D be a bounded strictly pseudoconvex domain of Cn with C 8 boundary and Y = {z; u1(z) = ... = ul(z) = 0} a holomorphic submanifold in the neighbourhood of D', of codimension l and transversal to the boundary of D. In this work we give a decomposition formula f = u1f1 + ...
Ortega Aramburu, Joaquín M., Fàbrega Casamitjana, Joan   +1 more
openaire   +6 more sources

The Dirichlet Problem for the Nonstationary Stokes System in a Domain with Angular or Conical Points

Fluids
The paper deals with the Dirichlet problem for the nonstationary Stokes system in a bounded two- or three-dimensional domain with angular or conical points on the boundary.
Jürgen Rossmann
doaj   +1 more source

On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Moroccan Journal of Pure and Applied Analysis, 2019
We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El, Moumni Mostafa El, Kouhaila Khaled   +2 more
doaj   +1 more source

Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces

Electronic Journal of Differential Equations, 2010
In this article, we prove that the initial value problem associated with the Korteweg-de Vries equation is well-posed in weighted Sobolev spaces $mathcal{X}^{s,heta}$, for $s geq 2heta ge 2$ and the initial value problem associated with the nonlinear
Xavier Carvajal Paredes, Pedro Gamboa Romero   +1 more
doaj  

Uniqueness Results for Higher Order Elliptic Equations in Weighted Sobolev Spaces

International Journal of Differential Equations, 2018
We prove some uniqueness results for the solution of two kinds of Dirichlet boundary value problems for second- and fourth-order linear elliptic differential equations with discontinuous coefficients in polyhedral angles, in weighted Sobolev spaces.
Loredana Caso, Patrizia Di Gironimo, Sara Monsurrò, Maria Transirico   +3 more
doaj   +1 more source

A NOTE ON WEIGHTED SOBOLEV SPACES RELATED TO WEAKLY AND STRONGLY DEGENERATE DIFFERENTIAL OPERATORS

Journal of Optimization, Differential Equations and Their Applications, 2019
In this paper we discuss some issues related to Poincar´e’s inequality for a special class of weighted Sobolev spaces. A common feature of these spaces is that they can be naturally associated with differential operators with variable diffusion ...
Peter I. Kogut, Olha P. Kupenko, Guenter Leugering, Yue Wang   +3 more
doaj   +1 more source

Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line

International Journal of Analysis and Applications, 2018
This paper addresses an initial boundary value problem for the damped Burgers equation in weighted Sobolev spaces on half line. First, it introduces two normed spaces and present relations between them, which in turn enables us to analysis the existence ...
Mohammadreza Foroutan, Ali Ebadian
doaj   +2 more sources

Embeddings of a Multi-Weighted Anisotropic Sobolev Type Space

Қарағанды университетінің хабаршысы. Математика сериясы
Parameters such as various integral and differential characteristics of functions, smoothness properties of regions and their boundaries, as well as many classes of weight functions cause complex relationships and embedding conditions for multi-weighted
G.Sh. Iskakova, M.S. Aitenova, A.K. Sexenbayeva   +2 more
doaj   +1 more source

Weighted Sobolev inequality in Musielak–Orlicz space

Journal of Mathematical Analysis and Applications, 2012
Let \(L_{p,q,\beta}(\mathbb{R}^n)\) be the Lebesgue space with continuous variable exponents \(p\), \(q\) satisfying the log-Hölder and log-log-Hölder condition, respectively, defined by means of the quasi-norm \[ \| f\|_{L_{p,q,\beta}(\mathbb{R}^n)}= \text{inf}\{\lambda> 0: \int(1+ |y|)^{\beta(y)}|f(y)/\lambda|^{p(y)}\cdot[\log(e+ |y|)^{\beta(y)}\cdot|
Mizuta, Yoshihiro, Shimomura, Tetsu
openaire   +2 more sources

Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley   +1 more source