Well-posedness in Sobolev spaces for semi-linear 3-evolution equations

被引：0

作者：

Ascanelli A. ^{[1
]}

Boiti C. ^{[1
]}

Zanghirati L. ^{[1
]}

机构：

[1] Dipartimento di Matematica ed Informatica, Università di Ferrara, Via Machiavelli n. 35

来源：

ANNALI DELL'UNIVERSITA' DI FERRARA | 2014年 / 60卷 / 1期

关键词：

Non-linear evolution equations; Pseudo-differential operators; Well-posedness in Sobolev spaces;

D O I：

10.1007/s11565-013-0191-y

中图分类号：

学科分类号：

摘要：

We prove local in time well-posedness of the Cauchy problem in Sobolev spaces for semi-linear 3-evolution equations of the first order. We require real principal part, but complex valued coefficients for the lower order terms. Therefore decay conditions on the imaginary parts are needed, as x→∞. © 2013 Università degli Studi di Ferrara.

引用

页码：5 / 21

页数：16

共 50 条

[31] LOCAL WELL-POSEDNESS OF THE FRACTIONAL INHOMOGENEOUS NLS IN SOBOLEV SPACES
Ghanmi, Radhia
Boulaaras, Salah
Saanouni, Tarek
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
[32] Well-posedness for the Navier-Stokes equations with data in homogeneous Sobolev-Lorentz spaces
Khai, D. Q.
Tri, N. M.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 149 : 130 - 145
[33] Well-posedness of the generalized Benjamin-Ono-Burgers equations in Sobolev spaces of negative order
Otani, Msanori
OSAKA JOURNAL OF MATHEMATICS, 2006, 43 (04) : 935 - 965
[34] Well-posedness for the Navier-Stokes equations with datum in Sobolev-Fourier-Lorentz spaces
Khai, D. Q.
Tri, N. M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 437 (02) : 754 - 781
[35] Long time well-posedness of Prandtl equations in Sobolev space
Xu, Chao-Jiang
Zhang, Xu
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (12) : 8749 - 8803
[36] ON LOCAL WELL-POSEDNESS OF LOGARITHMIC INVISCID REGULARIZATIONS OF GENERALIZED SQG EQUATIONS IN BORDERLINE SOBOLEV SPACES
Jolly, Michael S.
Kumar, Anuj
Martinez, Vincent R.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (01) : 101 - 120
[37] Feedback theory to the well-posedness of evolution equations
Boulite, S.
Hadd, S.
Maniar, L.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 378 (2185):
[38] Well-posedness in Sobolev spaces of the full water wave problem in 3-D
Wu, SJ
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 12 (02) : 445 - 495
[39] Well-posedness to 3D Burgers’ equation in critical Gevrey Sobolev spaces
Ridha Selmi
Abdelkerim Châabani
Archiv der Mathematik, 2019, 112 : 661 - 672
[40] Well-posedness to 3D Burgers' equation in critical Gevrey Sobolev spaces
Selmi, Ridha
Chaabani, Abdelkerim
ARCHIV DER MATHEMATIK, 2019, 112 (06) : 661 - 672

← 1 2 3 4 5 →