PageHeader : Funkcialaj Ekvacioj, 34 (1991) 449-474
Title : Existence and Regularizing Properties of Solutions
Title : for the Nonstationary Convection Problem
AuthorInfo : By
AuthorInfo : Toshiaki HISHIDA
AuthorInfo : (Waseda University, Japan)
section : ��1. Introduction
section : ��2. Preliminaries and results
subsection : 2. 1. Solenoidal function spaces and operators
subsection : 2.2. Abstract formulation
subsection : 2.3. Main results
section : ��3. Some lemmas
section : Lemma 3.4. Set
subsection : 4.1. Fundamental estimates for $\Phi$ and $\Psi$
subsection : 4.2. Estimates for successive sequences
subsection : 4.3. Local existence
subsection : 4.4. Continuous dependence on initial data
subsection : 4.5. Global existence
section : ��5. Proofs of Theorems 3 and 4
subsection : 5.1. Strong solutions of (CP)
subsection : 5.2. Asymptotic behavior of solutions in Sobolev spaces
subsection : 53. Asymptotic behavior of solutions in Holder spaces
section : References