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math.AP2010★ 20 cited
Bounds on the growth of high Sobolev norms of solutions to 2D Hartree Equations
Vedran Sohinger
In this paper, we consider Hartree-type equations on the two-dimensional torus and on the plane. We prove polynomial bounds on the growth of high Sobolev norms of solutions to thes…
math.AP2010★ 54 cited
Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrodinger Equations on
Vedran Sohinger
In this paper, we consider the cubic nonlinear Schrodinger equation, and the Hartree equation, with sufficiently regular convolution potential, both on the real line. We are intere…
math.AP2010
Bounds on the growth of high Sobolev norms of solutions to Nonlinear Schrodinger Equations on
Vedran Sohinger
We consider Nonlinear Schrodinger type equations on . In this paper, we obtain polynomial bounds on the growth in time of high Sobolev norms of their solutions. The key is to…