Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Ataei, Alireza"'
Autor:
Ataei, Alireza
In this work, we derive a sharp condition on the mass of the initial data for the global existence of the Chern-Simons-Schr\"odinger equation. As a corollary, we prove that if the strength of interaction is less than the Bogomolny bound, then, for a
Externí odkaz:
http://arxiv.org/abs/2405.07315
This work considers two related families of nonlinear and nonlocal problems in the plane $\mathbb{R}^2$. The first main result derives the general integrable solution to a generalized Liouville equation using the Wronskian of two coprime complex poly
Externí odkaz:
http://arxiv.org/abs/2404.09332
Autor:
Ataei, Alireza
In this work, we study convection-diffusion equations in the cases of bounded drifts and drifts induced by the gradient of a potential. We define a new notion of solution and prove its existence and uniqueness. Furthermore, we show the conservation o
Externí odkaz:
http://arxiv.org/abs/2310.20269
Autor:
Ataei, Alireza
In this work, a generalized Hopf's lemma and a global boundary Harnack inequality are proved for solutions to fractional $p$-Laplacian equations. Then, the isolation of the first $(s,p)$-eigenvalue is shown in bounded open sets satisfying the Wiener
Externí odkaz:
http://arxiv.org/abs/2304.03624
Autor:
Ataei, Alireza, Nyström, Kaj
We consider second order degenerate parabolic equations with real, measurable, and time-dependent coefficients. We allow for degenerate ellipticity dictated by a spatial $A_2$-weight. We prove the existence of a fundamental solution and derive Gaussi
Externí odkaz:
http://arxiv.org/abs/2303.02606
Autor:
Ataei, Alireza, Tavakoli, Alireza
We study the boundary behavior of solutions to fractional elliptic equations. As the first result, the isolation of the first eigenvalue of the fractional Lane-Emden equation is proved in the bounded open sets with Wiener regular boundary. Then, a ge
Externí odkaz:
http://arxiv.org/abs/2302.06262
Autor:
Ataei, Alireza, Nyström, Kaj
We solve the Kato square root problem for parabolic operators whose coefficients can be written as the sum of a complex part, which is elliptic, and a real anti-symmetric part which is in BMO. In particular, we allow for unbounded coefficients.
Externí odkaz:
http://arxiv.org/abs/2210.01663
We give a simplified and direct proof of the Kato square root estimate for parabolic operators with elliptic part in divergence form and coefficients possibly depending on space and time in a merely measurable way. The argument relies on the nowadays
Externí odkaz:
http://arxiv.org/abs/2209.11104
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.