概要 | The Cauchy problem for dissipative wave equations with
weighted nonlinear terms is considered. The nonlinear
terms are power type with a singularity at the origin
of Coulomb type. The local and global solutions are
shown in the energy class by the use of the Caffarelli-
Kohn-Nirenberg inequality. The exponential type
nonlinear terms are also considered in the critical
two-spatial dimensions. |