Attractor for a viscous coupled Camassa-Holm equation.
Attractor of a semi-discrete Benjamin-Bona-Mahony equation on ℝ¹
This paper is concerned with the study of the large time behavior and especially the regularity of the global attractor for the semi-discrete in time Crank-Nicolson scheme to discretize the Benjamin-Bona-Mahony equation on ℝ¹. Firstly, we prove that this semi-discrete equation provides a discrete infinite-dimensional dynamical system in H¹(ℝ¹). Then we prove that this system possesses a global attractor in H¹(ℝ¹). In addition, we show that the global attractor is regular, i.e., is actually...
Attractors for a class of doubly nonlinear parabolic systems.
Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization
Balls and Quasi-Metrics: A Space of Homogenous Type Modeling the Real Analysis Related to the Monge-Ampère Equation.
Barriers on cones for degenerate quasilinear elliptic operators.
Behaviour Near the Boundary of Positive Solutions of Second-Order Parabolic Equations.
Behaviour near zero and near infinity of solutions to elliptic equalities and inequalities.
Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
We are concerned with the boundedness and large time behaviour of the solution for a system of reaction-diffusion equations modelling complex consecutive reactions on a bounded domain under homogeneous Neumann boundary conditions. Using the techniques of E. Conway, D. Hoff and J. Smoller [3] we also show that the bounded solution converges to a constant function as t → ∞. Finally, we investigate the rate of this convergence.
Biharmonic eigenvalue problems and estimates.
Bilateral Inequalities and Implicit Unilateral Systems of the Non-Variational Type.
Bilinear space-time estimates for homogeneous wave equations
Bilinear virial identities and applications
We prove bilinear virial identities for the nonlinear Schrödinger equation, which are extensions of the Morawetz interaction inequalities. We recover and extend known bilinear improvements to Strichartz inequalities and provide applications to various nonlinear problems, most notably on domains with boundaries.
Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. Part II :
BMO estimates near the boundary for solutions of elliptic systems.
Borderline sharp estimates for solutions to Neumann problems.
Boundary estimates for solutions of Monge-Ampère equations in the plane
Boundary estimates for solutions of nonlinear degenerate parabolic systems.
Boundary regularity for certain fully nonlinear elliptic equations.
Boundary stabilization of the Schrödinger equation in almost star-shaped domain