Serge Vlăduţ
Indian Institute of Technology Patna
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Featured researches published by Serge Vlăduţ.
Archive | 2014
Nikolai Nadirashvili; Vladimir G. Tkachev; Serge Vlăduţ
This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equation ...
Annales De L Institut Henri Poincare-analyse Non Lineaire | 2010
Nikolai Nadirashvili; Serge Vlăduţ
Abstract We prove the existence of non-smooth solutions to three-dimensional Special Lagrangian Equations in the non-convex case.
Inverse Problems | 2016
Nikolai Nadirashvili; Vladimir Sharafutdinov; Serge Vlăduţ
John proved that a function on the manifold of lines in belongs to the range of the x-ray transform if and only if satisfies some second order differential equation and obeys some smoothness and decay conditions. We generalize the John equation to the case of the x-ray transform on arbitrary rank symmetric tensor fields: a function on the manifold of lines in belongs to the range of the x-ray transform on rank m symmetric tensor fields if and only if satisfies some differential equation of order and obeys some smoothness and decay conditions.
Proceedings of the International Congress of Mathematicians 2010 (ICM 2010) | 2011
Nikolai Nadirashvili; Serge Vlăduţ
We discuss basic properties (uniqueness and regularity) of viscosity solutions to fully nonlinear elliptic equations of the form F (x,Du) = 0, which includes also linear elliptic equations of nondivergent form. In the linear case we consider equations with discontinuous coefficients. Mathematics Subject Classification (2010). Primary 35J15, 35D30, 35D40, 35J60 Secondary 17A35, 20G41, 53C38, 60G46 .
Geometric and Functional Analysis | 2007
Nikolai Nadirashvili; Serge Vlăduţ
Journal de Mathématiques Pures et Appliquées | 2008
Nikolai Nadirashvili; Serge Vlăduţ
Advances in Mathematics | 2011
Nikolai Nadirashvili; Serge Vlăduţ
Advances in Mathematics | 2012
Nikolai Nadirashvili; Vladimir G. Tkachev; Serge Vlăduţ
Geometric and Functional Analysis | 2011
Nikolai Nadirashvili; Serge Vlăduţ
Journal de Mathématiques Pures et Appliquées | 2013
Nikolai Nadirashvili; Serge Vlăduţ