Results 131 to 140 of about 1,651 (223)

Local W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts

Electronic Journal of Differential Equations, 2017
We study weighted Sobolev regularity of weak solutions of non-homogeneous parabolic equations with singular divergence-free drifts. Assuming that the drifts satisfy some mild regularity conditions, we establish local weighted $L^p$-estimates for the
Tuoc Phan
doaj  

Weighted Imbedding Theorems in the Space of Differential Forms

, 2001
We prove Ar(Ω)-weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space Lp(D,∧l) to the Sobolev space W1,p(D,∧l−1),l=1,2,…,n, and to establish the basic ...
Shusen Ding, Ding, Shusen
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EXISTENCE AND UNIQUENESS RESULTS FOR A SYSTEM OF COUPLED KDV EQUATIONS IN WEIGHTED SOBOLEV SPACE

The system of Korteweg–De Vries (KdV) equations is a system of partial differential equations. It is used to describe the modeling of shallow water surface waves.
Umirzakov, Yerzhan
core  

Resultados de existência para equações elípticas com termos singulares

, 2013
Doutoramento em Matemática e AplicaçõesEsta dissertação estuda em detalhe três problemas elípticos: (I) uma classe de equações que envolve o operador Laplaciano, um termo singular e nãolinearidade com o exponente crítico de Sobolev, (II) uma classe de ...
Murillo, Kelly Patricia
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Markov-Type Inequalities on Weighted Sobolev Spaces with Doubling Weights

Mediterranean Journal of Mathematics
Abstract Markov-type inequalities provide estimates of the ratio of the norm of derivatives of a polynomial and the norm of the polynomial itself, and so, they play a main role in approximation theory. Weighted Sobolev spaces constitute the framework of the study of Sobolev orthogonal polynomials.
Francisco Marcellán, José, M. Rodríguez   +1 more
openaire   +1 more source

Biharmonic Problem in the half-space with traces in weighted Sobolev spaces

, 2007
13 pagesIn this paper, we study the biharmonic equation in the half-space $\mathbb{R^N_+})$, with $N \geq 2$. We prove in $L^p$ theory, with $1 < p < \infty$, existence, uniqueness and regularity results; then we are interested in singular boundary ...
Raudin, Yves, Amrouche, Chérif
core  

Existence of weak solutions for degenerate semilinear elliptic equations in unbounded domains

Electronic Journal of Differential Equations, 2009
In this study, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem $$displaylines{ Lu-mu u g_{1} + h(u) g_{2}= fquad hbox{in }Omega,cr u = 0quad hbox{on }partialOmega }$$ in a suitable ...
Venkataramanarao Raghavendra, Rasmita Kar   +1 more
doaj  

On imbeddings of weighted Sobolev spaces

, 1995
Summary: We obtain the continuous (and also compact) imbedding \[ W^{1,p} (\Omega,\nu_0,\nu_2)\to W^{1,p} (\Omega,w) \] under certain conditions on weights, where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\). Also, for the case \(\nu_0=\nu_1\), this imbedding is shown to exist under less restrictive conditions. Finally, the imbedding \[ W^{1,p} (\
openaire   +2 more sources

Nonlinear singular hyperbolic initial boundary value problems

Electronic Journal of Differential Equations, 2017
In this article, we aim to prove the well posedness of a one point initial boundary value problem for a nonlinear hyperbolic singular integro-differential partial differential equation.
Said Mesloub, Imed Bachar
doaj  

Reconstruction of foliations from directional information

, 2007
In many areas of science, especially geophysics, geography and meteorology, the data are often directions or axes rather than scalars or unrestricted vectors.
Yeh, Shu-Ying
core