In this chapter, we recall some busic results, most of which will be used in subsequent chapters. The reader can easily find detailed proofs in the related literature, see, e.g., Adams , Friedman [107, 108], Gagliardo [113, 114], Maz’ja , Nirenberg [297–300] Tanabe  and Yosida .
KeywordsBanach Space Linear Operator Sobolev Space Global Attractor Compactness Theorem
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