The existence and uniqueness of local strong solutions for a nonlinear equation are investigated in the Sobolev space provided that the initial value lies in with . Meanwhile, we prove the existence of global weak solutions in for the equation.
"The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation." Abstr. Appl. Anal. 2013 (SI42) 1 - 5, 2013. https://doi.org/10.1155/2013/619068