Now showing items 1-10 of 10
The regularity properties and blow-up of the solutions for nonlocal general wave equations
(Journal of Differential Equations, 2022)
In this paper, the Cauchy problem for nonlocal linear and nonlinear wave equations are studied. The equations include the general differential operators. The existence, uniqueness, -regularity properties and blow-up at ...
Regularity properties of nonlocal fractional differential equations and applications
(Georgian Mathematical Journal, 2022)
The regularity properties of nonlocal fractional elliptic and parabolic equations in vector-valued Besov spaces are studied. The uniform Bsp,q -separability properties and sharp resolvent estimates are obtained for abstract ...
The quality properties of integral type problems for wave equations and applications
(Journal of Applied Mathematics and Physics, 2022)
In this paper, the integral problem for linear and nonlinear wave equations is studied. The equation involves abstract operator A in Hilbert space H. Here, assuming enough smoothness on the initial data and the operators, ...
Kinetic maximal LP regularity for nonlocal Kolmogorov equation and application
(7. Uluslararası Erciyes Bilimsel Araştırmalar Kongresi, 2022)
We study the linear and nonlinear nonlocal abstract Kolmogorov equations. The equations includes the abstract operator A in a Banach space E. Here,the kinetic maximal L2-regularity for the linear equat¨on is derived in ...
Quality properties of linear and nonlinear abstract Schrödinger equations and applications
(4. International Palandöken Scientific Studies Congress, 2022)
In this talk, we consider the integral problem for linear abstract Schrödinger equation and nonlinear abstract Schrˆdinger (NLAS) equation.
Nonlocal fractional elliptic equations and applications
(Numerical Methods for Partial Differential Equations, 2022)
The Lp-coercive properties of a nonlocal fractional ellip tic equation is studied. Particularly, it is proved that the fractional elliptic operator generated by this equation is sec torial in Lp space and also is a generator ...
Cauchy problem for nonlocal abstract Stokes equations and applications
(Sixth International Conference on Analysis and Applied Mathematics (ICAAM 2022), 2022)
The regularity properties and blow-up of solutions for nonlocal wave equations and applications
(Results in Mathematics, 2022)
In this paper, the Cauchy problem for linear and nonlinear wave equations is studied.The equation involves an abstract operator A in a Hilbert space H and a convolution term. Here, assuming sufficient smoothness on the ...
Nonlocal abstract Stokes equations and applications
(9th International Congress of Fundamental and Applied Sciences (ICFAS 2022), 2022)
In this talk, the Cauchy problem for the stationary and instationary nonlocal imcompressible abstract Stokes equations are considered. The equation involve the the convolution term and abstract operator in a Banach space ...
The Lp -regularity properties of nonlocal wave equations and applications
(International Journal of Mathematics, 2022)
In this paper, the Cauchy problem for linear and nonlinear wave equations is studied. The equation involves abstract operator A in a Banach space E and convolution terms. Here, assuming enough smoothness on the initial ...