Analytic Smoothing Effect for Solutions to Schr\"odinger Equations with Nonlinearity of Integral
Preprint Series # 641 Ozawa, Tohru and Yamauchi, Kazuyuki and Yamazaki, Yasuko Analytic Smoothing Effect for Solutions to Schr\"odinger Equations with Nonlinearity of Integral. (2004); AbstractWe study analytic smoothing effects for solutions to
the Cauchy problem for the Schr\"odinger equation with interaction
described by the integral of the intensity with respect to one
direction in two space dimensions. The only assumption on the
Cauchy data is the weight condition of exponential type and
no regularity assumption is imposed.
