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Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schrodinger Equations
Higher-order Schrodinger operators rescaled blow-up variables discrete real spectrum asymptotic behaviour nodal sets of solutions
2011/9/9
Abstract: A classification of large-time and finite-time blow-up asymptotics of solutions of the Cauchy problem for higher-order Schr\"odinger equations is performed.
Two families of maximal curves which are not Galois subcovers of the Hermitian curve
maximal curves generalized GK curves Galois coverings
2011/1/20
We show that the generalized Giulietti-Korchm´aros curve and the maximal curve with equation x q2 − x = y (qn+1)/(q+1) defined over F q2n, for n 3 odd and q 3, are not Galois subcovers...
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
Convergence parabolic complex Monge-Ampère equation compact Hermitian manifolds
2010/12/14
We prove C1 convergence for suitably normalized solutions of the parabolic complex Monge-
Amp`ere equation on compact Hermitian manifolds. This provides a parabolic proof of a recent
result of Tosat...