Time decay of solutions to the Schrödinger equation in exterior domains. II
Time decay of solutions to the Schrödinger equation in exterior domains. I
Time estimates for the Cauchy problem for a third-order hyperbolic equation.
Time-decay of scattering solutions and classical trajectories
Time-evolution of a caustic.
Topological tools for the prescribed scalar curvature problem on S n
In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].
Transition from decay to blow-up in a parabolic system.
Transition from decay to blow-up in a parabolic system
We show a locally uniform bound for global nonnegative solutions of the system , in , on , where , and is a bounded domain in , . In particular, the trajectories starting on the boundary of the domain of attraction of the zero solution are global and bounded.
Transition layer for the heterogeneous Allen–Cahn equation
Transmission problem for waves with frictional damping.
Traveling waves in a one-dimensional heterogeneous medium
Traveling waves with paraboloid like interfaces for balanced bistable dynamics
Travelling wave for absorption-convection-diffusion equations.
Travelling waves for gas-solid reactions.
Bounded traveling waves, arising in combustion model for gas-solid reactions in a porous medium, are studied. We consider the existence, uniqueness and several qualitative properties. In particular we investigate waves with finiteness and derive estimates in the limit of vanishing diffusion.
Two dimensional incompressible ideal flow around a thin obstacle tending to a curve
Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions.
Two-dimensional Navier-Stokes flow in unbounded domains.