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Title: New method for the existence and uniqueness of solution of nonlinear parabolic equation
Authors: Wei, Li
Agarwal, Ravi P.
Wong, Patricia Jia Yiing
Keywords: H-monotone operator
Parabolic equation
Issue Date: 2015
Source: Wei, L., Agarwal, R. P., & Wong, P. J. Y. (2015). New method for the existence and uniqueness of solution of nonlinear parabolic equation. Boundary Value Problems, 2015, 88-.
Series/Report no.: Boundary Value Problems
Abstract: 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 discussions in the literature. The second is that the connections between resolvent of H-monotone operators and solutions of nonlinear parabolic equations are shown, and this strengthens the importance of H-monotone operators, which have already attracted the attention of mathematicians because of the connections with practical problems.
ISSN: 1687-2762
DOI: 10.1186/s13661-015-0343-3
Rights: © 2015 Wei et al. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in anymedium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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