424 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- European Organization for Nuclear ResearchCH344 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT344 papers
- Panjab UniversityIN344 papers
- Peking UniversityCN344 papers
- University of DelhiIN344 papers
- Bulgarian Academy of SciencesBG343 papers
- Florida Institute of TechnologyUS343 papers
- Ghent University HospitalBE343 papers
- Lappeenranta-Lahti University of TechnologyFI343 papers
- Seoul National UniversityKR343 papers
- Texas A&M UniversityUS343 papers
- Universidad de AntioquiaCO343 papers
4 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…
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups
Ahmad Z. Fino, Michael Ruzhansky, Berikbol T. Torebek
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 exponen…
A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term
Wenhui Chen, Ahmad Z. Fino
In this paper, we investigate blow-up of solutions to semilinear wave equations with scale-invariant damping and nonlinear memory term in , which can be represented b…
Paralinearization of the Muskat equation and application to the Cauchy problem
Thomas Alazard, Omar Lazar
We paralinearize the Muskat equation to extract an explicit parabolic evolution equation having a compact form. This result is applied to give a simple proof of the local well-pose…