【摘要】 证明了如果核函数是弱奇性的,即▽k∈Lp(Rn),p∈((n/α-1),+∞],非负初值u0满足u0∈L1(Rn);或者核函数是强奇性的即▽k∈Lp,∞(Rn),p∈(1,(n/α-1)],初值u0满足‖u0‖q*<ε,其中q*=nn+α-1-pn∈[1,(n/α-1)),那么耗散型聚合方程组的Cauchy问题是整体适定的.更多还原

【Abstract】 This paper proves that if the kernel k(x) is mildly singular,that is to say,▽k∈Lp(Rn)for p∈((n/α-1),+∞],or the initial date u0≥0 satisfies u0∈L1(Rn),and the kernel k(x)is strongly singular,that is to say,▽k∈Lp,∞(Rn)for p∈(1,(n/α-1)],and the initial date u0 satisfies‖u0‖q*<ε for q*=nn+a-1-np∈[1,(n/α-1)),the global well-posedness of the Cauchy problem for diffusive aggregation equations is obtained.更多还原