Results 21 to 30 of about 142,024 (284)

FREDHOLM AND PROPERNESS PROPERTIES OF QUASILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER [PDF]

Proceedings of the Edinburgh Mathematical Society, 2005
AbstractFor a large class of subsets $\varOmega\subset\mathbb{R}^{N}$ (including unbounded domains), we discuss the Fredholm and properness properties of second-order quasilinear elliptic operators viewed as mappings from $W^{2,p}(\varOmega;\mathbb{R}^{m})$ to $L^{p}(\varOmega;\mathbb{R}^{m})$ with $N\ltp\lt\infty$ and $m\geq1$.
Gebran, Hicham G., Stuart, Charles A.
openaire   +2 more sources

Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains

, 2007
We study Green's matrices for divergence form, second order strongly elliptic systems with bounded measurable coefficients in two dimensional domains.
Dong, Hongjie, Kim, Seick
core   +2 more sources

Whole Business Securitization: Secured Lending Repackaged?: A Comment on Hill [PDF]

, 2002
We study certain generalized Cauchy integral formulas for gradients of solutions to second order divergence form elliptic systems, which appeared in recent work by P. Auscher and A. Rosén.
Kothari, Vinod
core   +2 more sources

The Green function estimates for strongly elliptic systems of second order

, 2007
We establish existence and pointwise estimates of fundamental solutions and Green's matrices for divergence form, second order strongly elliptic systems in a domain $\Omega \subseteq \mathbb{R}^n$, $n \geq 3$, under the assumption that solutions of the ...
Hofmann, Steve, Kim, Seick
core   +4 more sources

Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case 1<m<2 under Natural Growth Condition

Journal of Inequalities and Applications, 2010
We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition.
Shuhong Chen, Zhong Tan
doaj   +1 more source

Inverse problem by Cauchy data on arbitrary subboundary for system of elliptic equations

, 2012
We consider an inverse problem of determining coefficient matrices in an $N$-system of second-order elliptic equations in a bounded two dimensional domain by a set of Cauchy data on arbitrary subboundary.
Albin P Gillarmou C Tzou L Uhlmann G, Bleistein N, Calderón A P, Eskin G, Imanuvilov O, Imanuvilov O, M Yamamoto, Novikov R G, O Yu Imanuvilov, Vekua I, Wendland W   +10 more
core   +1 more source

Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

, 2007
Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on $\mathbb{R}^n$.
Kim, Seick
core   +2 more sources

Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems

Journal of Mathematics, 2013
We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then ...
Zhenhua Hu, Shuqing Zhou
doaj   +1 more source

On the first boundary value problem for the class of elliptic systems degenerating at an inner point

Mathematical Modelling and Analysis, 2001
The Dirichlet type problem for the weakly related elliptic systems of the second order degenerating at an inner point is discussed. Existence and uniqueness of the solution in the Holder class of the vector‐functions is proved.
S. Rutkauskas
doaj   +1 more source

Problem of Bitsadze-Samarskii type for second-order elliptic systems in the plane [PDF]

, 2006
For general elliptic equations Bitsadze-Samara has been the subject of numerous studies.
Soldatov, A. P.
core   +1 more source