Isometric decomposition operators, function spaces E-p,q(lambda) and applications to nonlinear evolution equations | |
Wang, BX ; Zhao, LF ; Guo, BL | |
2006 | |
关键词 | nonlinear Schrodinger equation complex Ginzburg-Landau equation Navier-Stokes equation Cauchy problem local well posedness regularity behavior GINZBURG-LANDAU EQUATION SEMILINEAR PARABOLIC EQUATIONS NAVIER-STOKES EQUATIONS CAUCHY-PROBLEM SCHRODINGER-EQUATIONS LOCAL EXISTENCE LP REGULARITY TURBULENCE |
英文摘要 | By using the isometric decomposition to the frequency spaces, we will introduce a new class of function spaces E-p,q(lambda), which is a subspace of Gevrey 1-class G(1)(R-n) subset of C-infinity(R-n) for lambda>0, and we will study the Cauchy problem for the nonlinear Schrodinger equation, the complex Ginzburg-Landau equation and the Navier-Stokes equation. Some well-posed results are obtained for the Cauchy data in E-2,1(0), and the regularity behavior in E-2,1(Cl) subset of G(1) (R-n) for the complex Ginzburg-Landau equation and the Navier-Stokes equation is also obtained as time t SE arrow 0. (C) 2005 Elsevier Inc. All rights reserved.; Mathematics; SCI(E); 45; ARTICLE; 1; 1-39; 233 |
语种 | 英语 |
出处 | SCI |
出版者 | journal of functional analysis |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157913] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Wang, BX,Zhao, LF,Guo, BL. Isometric decomposition operators, function spaces E-p,q(lambda) and applications to nonlinear evolution equations. 2006-01-01. |
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