New method for the existence and uniqueness of solution of nonlinear parabolic equation

• Main Authors: Wei, Li, Agarwal, Ravi P., Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2015
• Subjects: H-monotone operator; Resolvent; Subdifferential; Parabolic equation
• Online Access: https://hdl.handle.net/10356/80992; http://hdl.handle.net/10220/39038
• Institution: Nanyang Technological University

There are two contributions in this paper. The first is that the abstract result for the existence of the unique solution of certain nonlinear parabolic equation is obtained by using the properties of H-monotone operators, consequently, the proof is simplified compared to the corresponding discussio...