Prof. Dr. Alexander Shlapunov

Profile

Academic positionFull Professor
Research fieldsAnalysis, Differential Equations
KeywordsWeighted Hoelder spaces, Open Mapping theorem, Navier-Stokes equations

Current contact address

CountryRussian Federation
CityKrasnoyarsk 41
InstitutionSiberian Federal University
InstituteInstitute of Mathematics and Computer Science, Chair of Function's Theory
Homepagehttp://math.sfu-kras.ru/node/295

Host during sponsorship

Prof. Dr. Nikolai TarkhanovInstitut für Mathematik, Universität Potsdam, Potsdam
Start of initial sponsorship01/07/2006

Programme(s)

2005Humboldt Research Fellowship Programme

Publications (partial selection)

2018Alexander Shlapunov, Nikolai Tarkhanov An open mapping theorem for the Navier-Stokes Equations. Advances and Applications in Fluid Mechanics, 21:2 (2018), 127--246.. In: Advances and Applications in Fluid Mechanics, 2018, 127-246
2013Alexander Shlapunov, Nikolai Tarkhanov: On completeness of root functions of Sturm-Liouville problems with discontinuous boundary operators. In: Journal of Differential Equations, 2013, 3305-3337
2013Alexander Polkovnnikov, Alexander Shlapunov: On spectral properties of a non-coercive mixed problem associated with the $\overline \partial$-operator. In: Journal of Siberian Federal University, Math. and Phys., 2013, 247-261
2013Dmitrii Fedchenko, Alexander Shlapunov: On the Cauchy problem for the elliptic complexes in spaces of distributions. In: Complex Variables and Elliptic Equations: An International Journal, ISSN (online) 1747–6941, http://dx.doi.org/10.1080/17476933.2013.776043., 2013,
2012Alexander Shlapunov, Roman Puzyrev: On an Ill-Posed Problem for the heat equation. In: Journal of Siberian Federal University, Math. and Phys., 2012, 337-348
2012Alexander Shlapunov, Dmitrii Fedchenko: On the Cauchy problem for the Dolbeault complex in spaces of distributions. In: Complex Variables and Elliptic Equations: An International Journal, ISSN (online) 1747–6941, http://dx.doi.org/10.1080/17476933.2012.697459., 2012, 1-24
2011Alexandre Shlapunov: Boundary Problems for Helmholtz Equation and the Cauchy Problem for Dirac Operators . In: Journal of Siberian Federal University. Mathematics and Physics, 2011, 218-229
2011Alexandre Shlapunov, Ivan Shestakov: On the Cauchy Problem for Operators with injective Symbols in the Spaces of Distributions. In: Jornal of Inverse and Ill-Posed Problems, 2011, 127-150
2009Alexandre Shlapunov, Nikolai Tarkhanov: A Homotopy Operator for Spencer's Sequence in the C^\infty-case. In: Siberian Advances in Mathematics, 2009, 75-109
2009Alexandre Shlapunov, Ivan Shestakov: Negative Sobolev Spaces In the Cauchy problem for the Cauchy-Riemann operators. In: Journal of Siberian Federal University. Mathematics and Physics, 2009, 17-32
2009Alexandre Shlapunov, Ivan Shestakov: On the Cauchy problem for operators with injective symbols in Lebesque space L2 in a domain. In: Siberian Mathematical Journal, 2009, 687-702
2008Alexandre Shlapunov, Ivan Shestakov: On the Cauchy problem for operators with injective symbols in Sobolev spaces. In: Journal of Siberian Federal University. Mathematics and Physics, 2008, 52-61
2008Alexandre Shlapunov: On the Cauchy problem for the Cauchy-Riemann operator in Sobolev spaces. In: Contemporary Mathematics, 2008, 333-347
2008Alexandre Shlapunov, Dmitrii Fedchenko: On the Cauchy problem for the multi-dimensional Cauchy-Riemann operator in Lebesque space L2 in a domain. In: Matem. Sbornik, 2008, 17-32
2007Alexandre Shlapunov: A method for constructing solutions to linear systems of partial differential equations. In: Siberian Advances in Mathematics, 2007, 191-204
2005Alexander Shlapunov, Nikolai Tarkhanov: Mixed problems with a parameter . In: Russian Journ. Math. Phys., 2005, 97-124
2005Alexander Shlapunov: On some solvability conditions for overdetermined systems of differential equations in Sobolev spaces. In: Izvestiya VUZ. Mathematics, 2005, 70-80