Results 11 to 20 of about 300 (152)
On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients [PDF]
Journal of Function Spaces and Applications, 2012 We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994).
Teresa Alberico
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Parabolic equations with VMO coefficients in Morrey spaces [PDF]
Electronic Journal of Differential Equations, 2001 Global regularity in Morrey spaces is derived for the regular oblique derivative for linear uniformly parabolic operators. The principal coefficients of the operator are supposed to be discontinuous, belonging to Sarason's class of functions with ...
Lubomira G. Softova
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Elliptic Venttsel problems with $VMO$ coefficients
Rendiconti Lincei, Matematica e Applicazioni, 2020 We announce new results about strong solvability of linear and quasilinear Venttsel boundary value problems with discontinuous principal coefficients.
Darya E. Apushkinskaya +3 more
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Parabolic and Elliptic Systems with VMO Coefficients [PDF]
Methods and Applications of Analysis, 2009 We consider second order parabolic and elliptic systems with leading coefficients having the property of vanishing mean oscillation (VMO) in the spatial variables. An L q - L p theory is established for systems both in divergence and non-divergence form.
Dong, Hongjie, Kim, Doyoon
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$L^p$ theory for fractional gradient PDE with $VMO$ coefficients [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2015 In this paper, we prove L^p estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are VMO ...
Armin Schikorra +2 more
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On Bellman's Equations with VMO Coefficients [PDF]
Methods and Applications of Analysis, 2010 We present a result about solvability in $W^{2}_{p}$, $p>d$, in the whole space $\bR^{d}$ of Bellman's equations with VMO ``coefficients''. Parabolic equations are touched upon as well.
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$L^p$ estimates for degenerate elliptic systems with VMO coefficients [PDF]
St. Petersburg Mathematical Journal, 2014 The authors obtain \(L^p\) gradient weighted estimates with Muckenhoupt weight for degenerate elliptic systems in divergence form with VMO coefficients.
DI FAZIO, Giuseppe +2 more
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On Divergence Form SPDEs with VMO Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2009 26 pages in the original file, 27 pages in the new version, numerous errors ...
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Parabolic and Elliptic Equations with VMO Coefficients [PDF]
Communications in Partial Differential Equations, 2007 An $L_{p}$-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class $VMO_{x}$, which, in particular, contains all functions independent of $x$. Weak uniqueness of the martingale problem associated with such equations is obtained.
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An existence result for elliptic equations with VMO-coefficients
Journal of Mathematical Analysis and Applications, 2007 The paper deals with existence and uniqueness of solutions to the Dirichlet problem \[ \begin{cases} u\in W^{2,p}(\Omega)\cap W^{1,p}_0(\Omega),\cr Lu=f\in L^p(\Omega), \end{cases} \] with unbounded domain \(\Omega\subset \mathbb R^n,\) \(n\geq3,\) for the linear uniformly elliptic operator \[ L=-\sum_{i,j=1}^n a_{ij}{{\partial^2}\over{\partial x_i ...
CASO, Loredana +2 more
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