Zobrazeno 1 - 10
of 194
pro vyhledávání: '"Torebek, Berikbol T."'
Let $\mathbb G$ be a graded Lie group with homogeneous dimension $Q$. In this paper, we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving a positive Rockland operator $\mathcal{R}$ of homogeneous degree $\nu\geq 2$
Externí odkaz:
http://arxiv.org/abs/2408.05598
We first study the existence, uniqueness and well-posedness of a general class of integro-differential diffusion equation on $L^p(\mathbb{G})$ $(1
Externí odkaz:
http://arxiv.org/abs/2402.14125
We consider a higher order in (time) semilinear evolution inequality posed on the Kor\'{a}nyi ball under an inhomogeneous Dirichlet-type boundary condition. The problem involves an inverse-square potential $\lambda/|\xi|_\mathbb{H}^2$, where $\lambda
Externí odkaz:
http://arxiv.org/abs/2402.13158
Publikováno v:
Journal of Mathematical Analysis and Applications, 536:1 (2024), 128172
In the present paper, we consider the parabolic and hyperbolic inequalities with a singular potentials and with a critical nonlinearities in the annulus domain. The problems are studied with Neumann-type and Dirichlet-type boundary conditions on the
Externí odkaz:
http://arxiv.org/abs/2401.14102
We study a semilinear wave inequality with double damping on a complete noncompact Riemannian manifold. The considered problem involves a potential function $V$ depending on the space variable in front of the power nonlinearity and an inhomogeneous t
Externí odkaz:
http://arxiv.org/abs/2312.00617
Autor:
Torebek, Berikbol T.
The present paper considers the Cauchy-Dirichlet problem for the time-nonlocal reaction-diffusion equation $$\partial_t (k\ast(u-u_0))+\mathcal{L}_x [u]=f(u),\,\,\,\, x\in\Omega\subset\mathbb{R}^n, t>0,$$ where $k\in L^1_{loc}(\mathbb{R}_+),$ $f$ is
Externí odkaz:
http://arxiv.org/abs/2310.08985
Publikováno v:
Journal of Differential Equations, 380 (2024), 1-23
The paper studies the large-time behavior of solutions to the Robin problem for PDEs with critical nonlinearities. For the considered problems, nonexistence results are obtained, which complements the interesting recent results by Ikeda et al. [J. Di
Externí odkaz:
http://arxiv.org/abs/2303.14563
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA, Vol. 31, No. 2, (2024), P. 1-37
In this paper, we consider the Cauchy problem for the degenerate parabolic equations on the Heisenberg groups with power law non-linearities. We obtain Fujita-type critical exponents, which depend on the homogeneous dimension of the Heisenberg groups
Externí odkaz:
http://arxiv.org/abs/2303.06509
In this paper, we study the nonlinear Sobolev type equations on the Heisenberg group. We show that the problems do not admit nontrivial local weak solutions, i.e. "instantaneous blow up" occurs, using the nonlinear capacity method. Namely, by choosin
Externí odkaz:
http://arxiv.org/abs/2303.05594
Autor:
Torebek, Berikbol T.
Publikováno v:
Journal of Evolution Equations, (2023)
This paper studies the large-time behavior of solutions to the quasilinear inhomogeneous parabolic equation with combined nonlinearities. This equation is a natural extension of the heat equations with combined nonlinearities considered by Jleli-Same
Externí odkaz:
http://arxiv.org/abs/2212.14332