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Global Stability for Charged Scalar Fields on Minkowski Space
Hans Lindblad, Jacob Sterbenz
We prove that the charge-scalar field (also known as the massless Maxwell-Klein-Gordon) equations are globally stable on (3+1) dimensional Minkowski space for small initial data in…
Well-posedness for the motion of an incompressible liquid with free surface boundary
Hans Lindblad
We study the motion of an incompressible perfect liquid body in vacuum. This can be thought of as a model for the motion of the ocean or a star. The free surface moves with the vel…
A remark on Global existence for small initial data of the minimal surface equation in Minkowskian space time
Hans Lindblad
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…
Well-posedness for the linearized motion of a compressible liquid with free surface boundary
Hans Lindblad
We study the problem of the motion of the free surface of a compressible fluid. We prove existence for the linearized equations.
Well-posedness for the Linearized Motion of an Incompressible Liquid with Free Surface Boundary
Hans Lindblad
We study the problem of the motion of the free surface of a liquid. We prove existence and stability for the linearized equations.
Weighted Strichartz estimates and global existence for semilinear wave equations
V. Georgiev, Hans Lindblad, Christopher D. Sogge
We prove certain weighted Strichartz estimates and use these to prove a sharp theorem for global existence of small amplitude solutions of , thus verifying the so…