Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Lucas C. F. Ferreira"'
Autor:
Lucas C. F. Ferreira, Wender S. Lagoin
Publikováno v:
Bulletin of Mathematical Sciences, Vol 13, Iss 03 (2023)
We consider a class of nonhomogeneous elliptic equations with fractional Laplacian and nonlinear gradient terms, namely [Formula: see text] in [Formula: see text], where [Formula: see text], [Formula: see text] is the nonlinearity, [Formula: see text
Externí odkaz:
https://doaj.org/article/b88c11f9fb3d4e36a13531b385ad49cd
Autor:
Lucas C. F. Ferreira
Publikováno v:
Mathematics in Engineering, Vol 4, Iss 6, Pp 1-14 (2022)
We are concerned with the uniqueness of mild solutions in the critical Lebesgue space $ L^{\frac{n}{2}}(\mathbb{R}^{n}) $ for the parabolic-elliptic Keller-Segel system, $ n\geq4 $. For that, we prove the bicontinuity of the bilinear term of the mild
Externí odkaz:
https://doaj.org/article/2e9184f862ab457496a7aca867b22e80
Publikováno v:
Dynamics of Partial Differential Equations. 19:23-49
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b2fb9e463f2b2c66f45be7d035de5c6
https://doi.org/10.4310/dpde.2022.v19.n1.a2
https://doi.org/10.4310/dpde.2022.v19.n1.a2
Publikováno v:
Journal of Differential Equations. 299:402-428
We consider a class of elliptic problems in the half-space R + n with nonhomogeneous boundary conditions containing nonlinearities and critical singular potentials. We obtain existence and regularity results by means of a harmonic analysis approach b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d87852c0d56e34e798c9e475760c089
https://doi.org/10.1016/j.jde.2021.07.011
https://doi.org/10.1016/j.jde.2021.07.011
Publikováno v:
Mathematische Nachrichten. 294:877-899
We prove a weighted Sobolev trace embedding in the upper half‐space and give its best constant. This embedding can be employed to study a number of critical boundary problems. In this direction, we obtain existence and nonexistence results for a cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b6945fbf980db8308d032de6f269ef5
https://doi.org/10.1002/mana.201900012
https://doi.org/10.1002/mana.201900012
Publikováno v:
Journal of Hyperbolic Differential Equations. 17:123-139
We show global-in-time well-posedness and self-similarity for the semilinear wave equation with nonlinearity [Formula: see text] in a time-weighted framework based on the larger family of homogeneous Besov spaces [Formula: see text] for [Formula: see
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d56770e639f7ccc145d5b5771005643b
https://doi.org/10.1142/s0219891620500046
https://doi.org/10.1142/s0219891620500046
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:1411-1433
In this paper, we study the long-time existence and uniqueness (solvability) for the initial value problem of the 2D inviscid dispersive SQG equation. First we obtain the local solvability with existence-time independent of the amplitude parameter \b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::faff36bd295db114bde4ac7b20c8cdd9
https://doi.org/10.3934/dcds.2020082
https://doi.org/10.3934/dcds.2020082
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 25:4553-4573
We investigate the long-time solvability in Besov spaces of the initial value problem for the inviscid 3D-Boussinesq equations with Coriolis force. First we prove a local existence and uniqueness result with critical and supercritical regularity and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a2aec59330b8ac058e30c81102ff9f4
https://doi.org/10.3934/dcdsb.2020112
https://doi.org/10.3934/dcdsb.2020112
Publikováno v:
Partial Differential Equations and Applications. 2
We establish the global well-posedness of the 3D fractional Boussinesq–Coriolis system with stratification in a framework of Fourier type, namely spaces of Fourier–Besov type with underlying space being Morrey spaces (FBM-spaces, for short). Unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ebc50bbd49680036e79b5dc94df4311
https://doi.org/10.1007/s42985-021-00109-4
https://doi.org/10.1007/s42985-021-00109-4
Publikováno v:
Proceedings of the American Mathematical Society. 147:4329-4341
In this paper we show the eventual local positivity property for higher-order heat equations (including noninteger order). As a consequence, we give a positive answer for an open problem stated by Barbatis and Gazzola [Contemp. Math. 594 (2013)] for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34c687e02981e5d27dfc9aeaf5c50e6c
https://doi.org/10.1090/proc/14565
https://doi.org/10.1090/proc/14565