170 citations
- Polish Academy of SciencesPL17 papers
- Jagiellonian UniversityPL8 papers
- Wrocław University of Science and TechnologyPL8 papers
- University of WrocławPL7 papers
- University of BiałystokPL6 papers
- National Academy of Sciences of UkraineUA5 papers
- University of WarsawPL5 papers
- Carl von Ossietzky Universität OldenburgDE3 papers
- University of GdańskPL3 papers
- University of ViennaAT3 papers
- Chinju National University of EducationKR2 papers
- Częstochowa University of TechnologyPL2 papers
5 papers · 1 filter
Singular reduction operators in two dimensions
Michael Kunzinger, Roman O. Popovych
The notion of singular reduction operators, i.e., of singular operators of nonclassical (conditional) symmetry, of partial differential equations in two independent variables is in…
The best constant in a fractional Hardy inequality
Krzysztof Bogdan, Bartłomiej Dyda
We prove an optimal Hardy inequality for the fractional Laplacian on the half-space.
Local conservation laws of second-order evolution equations
Roman O. Popovych, Anatoly M. Samoilenko
Generalizing results by Bryant and Griffiths [Duke Math. J., 1995, V.78, 531-676], we completely describe local conservation laws of second-order (1+1)-dimensional evolution equati…
Reduction Operators of Linear Second-Order Parabolic Equations
Roman O. Popovych
The reduction operators, i.e., the operators of nonclassical (conditional) symmetry, of (1+1)-dimensional second order linear parabolic partial differential equations and all the p…
About the regularized Navier--Stokes equations
Marco Cannone, Grzegorz Karch
The first goal of this paper is to study the large time behavior of solutions to the Cauchy problem for the 3-dimensional incompressible Navier-Stokes system. The Marcinkiewicz spa…