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Non—Autonomous Nonlinear Functional Evolutions

In: Nonlinear Functional Evolutions in Banach Spaces

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  • Ki Sik Ha

    (Pusan National University, Department of Mathematics)

Abstract

The object of this chapter is to consider non-autonomous nonlinear functional evolutions associated with accretive operators in real Banach spaces. In Section 3.1 we study the existence of solutions by Kato’s methods applied to that of nonlinear evolutions. Section 3.2 deals with evolution operator methods in which the evolution operators are generated by the accretive operators. Section 3.3 investigates monotonicity methods, and Section 3.4 contains methods of lines. Section 3.5 and Section 3.6 are owed to compactness methods and L P -space methods, respectively, whilst Section 3.7 is devoted to examples and applications. Finally, in Section 3.8 comments and notes for references are presented.

Suggested Citation

  • Ki Sik Ha, 2003. "Non—Autonomous Nonlinear Functional Evolutions," Springer Books, in: Nonlinear Functional Evolutions in Banach Spaces, chapter 0, pages 127-247, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-0365-9_3
    DOI: 10.1007/978-94-017-0365-9_3
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