ABSTRACT

In this chapter, we complete the analysis of parabolic Cauchy problems with bounded coefficients, dealing with the Cauchy-Dirichlet problem D t u ( t , x ) = A u ( t , x ) + g ( t , x ) , t ∈ [ 0 , T ] , x ∈ Ω , u ( t , x ) = h ( t , x ) , t ∈ [ 0 , T ] , x ∈ ∂ Ω , u ( 0 , x ) = f ( x ) , x ∈ Ω ¯ , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429262593/03624a6d-a4e5-45fb-ba52-c2b8f08b80c3/content/math9_3.tif"/>