【摘 要】
：
In this talk,we are concerned with the low regularity solution problem for the semilinear mixed type equation(6)2 t u-t2l-1△u = f(t,x,u)with aninitial data u(0
【机 构】
：
NanjingUniversity
【出 处】
：
Harmonic Analysis and Applications(2014调和分析及其应用学术会议)
论文部分内容阅读
In this talk,we are concerned with the low regularity solution problem for the semilinear mixed type equation(6)2 t u-t2l-1△u = f(t,x,u)with aninitial data u(0,x)= u0(x)∈ Hs(Rn)(0 ≤ s ＜ n/2),where(t,x)∈ R × Rn,l ∈ N,x =(x1,...,xn),n ≥ 2,f(t,x,u)is smooth in its arguments and is compactly supported with respect to the variable x.Under the subcritical increasing restriction of f(t,x,u)on u and various conditions of f(t,x,u)near {t = 0},we will establish the local existence and regularities of the considered solutions.
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