Mykola Bokalo
Abstract:
We prove the well-posedness of Fourier problems for anisotropic
elliptic-parabolic equations with variable exponents of nonlinearity
without any restrictions at infinity. We obtain estimates of the weak solutions
and conditions for the existence of periodic and almost periodic solutions.
In addition, some properties of the weak solutions of the Fourier problem
are considered.
Submitted April 17, 2014. Published August 11, 2014.
Math Subject Classifications: 35K10, 35K55, 35K92.
Key Words: Fourier problem; problem without initial conditions;
degenerate implicit equations; elliptic-parabolic equation;
periodic solution; almost periodic solution;
nonlinear evolution equation.
Show me the PDF file (272 KB), TEX file, and other files for this article.
Mykola Bokalo Department of Differential Equations Ivan Franko National University of Lviv Lviv, Ukraine email: mm.bokalo@gmail.com |
Return to the EJDE web page