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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 $L^{p}$ estimates.

Gupta, Chaitan P., Kwong, Ying C. (1990)

International Journal of Mathematics and Mathematical Sciences

Bilateral Inequalities and Implicit Unilateral Systems of the Non-Variational Type.

M.G. Garroni, M.A. Vivaldi (1980/1981)

Manuscripta mathematica

Bilinear space-time estimates for homogeneous wave equations

Damiano Foschi, Sergiu Klainerman (2000)

Annales scientifiques de l'École Normale Supérieure

Bilinear virial identities and applications

Fabrice Planchon, Luis Vega (2009)

Annales scientifiques de l'École Normale Supérieure

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.

We study the behaviour of weak solutions (as well as their gradients) of boundary value problems for quasi-linear elliptic divergence equations in domains extending to infinity along a cone.

Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle

O. A. Oleinik, G. A. Yosifian (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Boundary value problems for some classes of degenerating second order partial differential equations.

Usanetashvili, Mikheil (1997)

Memoirs on Differential Equations and Mathematical Physics

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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

Biharmonic eigenvalue problems and $L^{p}$ 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

Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. Part II : $N \geq 4$

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

Boundary value problem with integral conditions for a linear third-order equation.

Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains

Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle

Boundary value problems for some classes of degenerating second order partial differential equations.

Currently displaying 1 – 20 of 28