Well-posedness for the Linearized Motion of an Incompressible Liquid with Free Surface Boundary
We study the problem of the motion of the free surface of a liquid. We prove existence and stability for the linearized equations.
math.AP↗
arXiv subjects
Hans Lindblad
Publications and source records attributed to Hans Lindblad.
A remark on Global existence for small initial data of the minimal surface equation in Minkowskian space time
We show that the nonlinear wave equation corresponding to the minimal surface equation in Minkowski space time has global solutions for sufficiently small initial data. This is an interesting model in Lorentziann and is also the equation for a membrane in field theory.
math.AP↗
Weighted Strichartz estimates and global existence for semilinear wave equations
We prove certain weighted Strichartz estimates and use these to prove a sharp theorem for global existence of small amplitude solutions of $\square u= |u|^p$, thus verifying the so-called "Strauss conjecture".
math.AP↗