111 citations
- Ghent UniversityBE36 papers
- Al-Farabi Kazakh National UniversityKZ31 papers
- Queen Mary University of LondonGB24 papers
- Imperial College LondonGB10 papers
- Nazarbayev UniversityKZ6 papers
- Ahmet Yesevi UniversityKZ4 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Institut de Recherche Mathématique AvancéeFR4 papers
- King Abdulaziz UniversitySA4 papers
- University of HelsinkiFI4 papers
- Center for Mathematical ModelingCL3 papers
- Peoples' Friendship University of RussiaRU3 papers
43 papers · 1 filter
Parabolic problems whose Fujita critical exponent is not given by scaling
Ahmad Z. Fino, Berikbol T. Torebek
This paper investigates the (fractional) heat equation with a nonlocal nonlinearity involving a Riesz potential: \begin{equation*} u_{t}+(-Δ)^{\fracβ{2}} u= I_α(|u|^{p}),\qquad x\i…
A note on lifespan estimates for higher-order parabolic equations
Nurdaulet N. Tobakhanov, Berikbol T. Torebek
We investigate the lifespan of solutions to the higher-order semilinear parabolic equation with initial data. We focus on the…
Fourier multipliers and their applications to PDE on the quantum Euclidean space
M. Ruzhansky, S. Shaimardan, K. Tulenov
In this work, we present some applications of the - boundedness of Fourier multipliers to PDEs on the noncommutative (or quantum) Euclidean space. More precisely, we esta…
Fujita-type results for the semilinear heat equations driven by mixed local-nonlocal operators
Vishvesh Kumar, Berikbol T. Torebek
This paper explores the critical behavior of the semilinear heat equation , considering both the presence and absence of a forcing term …
Blow-up results for the semilinear Schrödinger equations with forcing and gradient terms: the critical cases
Berikbol T. Torebek
The paper is devoted to the study of critical cases of the nonlinear Schrödinger (NLS) equation with source and gradient terms, subsequently providing answers to some open question…
On the critical behavior for the semilinear biharmonic heat equation with forcing term in an exterior domain
Nurdaulet N. Tobakhanov, Berikbol T. Torebek
In this paper, we investigate the critical behavior of solutions to the semilinear biharmonic heat equation with forcing term under six homogeneous boundary conditions. Thi…