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4 papers · 2 filters
Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space
Robert L. Jerrard
We study semilinear wave equations with Ginzburg-Landau type nonlinearities multiplied by a factor , where is a small parameter. We prove that for suitable initial da…
Diophantine Conditions in Well-Posedness Theory of Coupled KdV-Type Systems: Local Theory
Tadahiro Oh
We consider the local well-posedness problem of a one-parameter family of coupled KdV-type systems both in the periodic and non-periodic setting. In particular, we show that certai…
Reconstruction in the Calderon Problem with Partial Data
Adrian Nachman, Brian Street
We consider the problem of recovering the coefficient σ(x) of the elliptic equation \grad \cdot(σ\grad u)=0 in a body from measurements of the Cauchy data on possibly very small su…
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
Daniel Matthes, Robert J. McCann, Giuseppe Savar'e
Global existence and long-time behavior of solutions to a family of nonlinear fourth order evolution equations on are studied. These equations constitute gradient flows for t…