摘要：We study the existence of pseudo almost periodic mild solutions for the abstract evolution equation u ′ ( t ) = A u ( t ) + f ( t , u ( t ) ) $u'(t)=Au(t)+f(t,u(t))$ , t ∈ R , $t\in\mathbb {R,}$ when the nonlinearity f satisfies certain critical conditions. We apply our abstract results to the heat equation.
关键词：pseudo almost periodic solutions ; critical nonlinearities ; growth conditions
