Fourier problems for parabolic equations with variable exponents of nonlinearity and time delay
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 1
Abstract
The Fourier problem for nonlinear parabolic equations with variable exponents of nonlinearity and time delay is considered. The existence and uniqueness of weak solutions of the problem are investigated. Also, its a priori estimates are obtained.
Authors and Affiliations
M. M. Bokalo, O. V. Ilnytska
Keywords
Related Articles
- EP ID EP310042
- DOI 10.15330/ms.47.1.47-58
- Views 30
- Downloads 0
On ε-Friedrichs inequalities and its application
Let n∈N be a fixed number, Ω be a bounded domain in Rn, L2(Ω), L∞(Ω) be the Lebesgue spaces, H1(Ω) and H10(Ω) be the Sobolev spaces, Πℓ(α):=⊗k=1n(αk;αk+ℓ),α=(α1,…,αn)∈Rn,ℓ>0. There are proved the following assertions abo...
Rings with the Kazimirsky condition and rings with projective socle
We construct the theory of diagonalizability for matrices over Bezout rings of stable range 1 with the Kazimirsky condition. It is shown that a ring of stable range 1 with the right (left) Kazimirsky condition is an elem...
Homomorphisms between rings with infinitesimals and infinitesimal comparisons
We examine an argument of Reeder suggesting that the nilpotent infinitesimals in Paolo Giordano's ring extension of the real numbers ∙R are smaller than any infinitesimal hyperreal number of Abraham Robinson's nonstandar...
On belonging of entire Dirichlet series to a modified generalized convergence class
For entire Dirichlet series F(s)=∑+∞n=0anesλn we found conditions on an, λn and on positive functions α and β continuous increasing to +∞ on [0,+∞) are found, under which the condition ∫+∞σ01β(σ)α(1σlnM(σ,F))dσ≤+∞ is equ...
On applications of the Levi method in the theory of parabolic equations
A short review of papers where a fundamental solution was constructed by the Levi’s parametrix method is done. Some details of applications of this method for parabolic equations and systems of parabolic equations, in pa...