location:  Publications → journals
Search results

Search: All articles in the CJM digital archive with keyword existence

 Expand all        Collapse all Results 1 - 2 of 2

1. CJM 2012 (vol 64 pp. 1415)

Selmi, Ridha
 Global Well-Posedness and Convergence Results for 3D-Regularized Boussinesq System Analytical study to the regularization of the Boussinesq system is performed in frequency space using Fourier theory. Existence and uniqueness of weak solution with minimum regularity requirement are proved. Convergence results of the unique weak solution of the regularized Boussinesq system to a weak Leray-Hopf solution of the Boussinesq system are established as the regularizing parameter $\alpha$ vanishes. The proofs are done in the frequency space and use energy methods, ArselÃ -Ascoli compactness theorem and a Friedrichs like approximation scheme. Keywords:regularizing Boussinesq system, existence and uniqueness of weak solution, convergence results, compactness method in frequency spaceCategories:35A05, 76D03, 35B40, 35B10, 86A05, 86A10

2. CJM 2002 (vol 54 pp. 1121)

Bao, Jiguang
 Fully Nonlinear Elliptic Equations on General Domains By means of the Pucci operator, we construct a function $u_0$, which plays an essential role in our considerations, and give the existence and regularity theorems for the bounded viscosity solutions of the generalized Dirichlet problems of second order fully nonlinear elliptic equations on the general bounded domains, which may be irregular. The approximation method, the accretive operator technique and the Caffarelli's perturbation theory are used. Keywords:Pucci operator, viscosity solution, existence, $C^{2,\psi}$ regularity, Dini condition, fully nonlinear equation, general domain, accretive operator, approximation lemmaCategories:35D05, 35D10, 35J60, 35J67