Note on the existence theory for evolution equations with pseudo-monotone operators

被引：0

作者：

E. Bäumle

M. Růžička

机构：

[1] Albert-Ludwigs-University Freiburg,Institute of Applied Mathematics

来源：

Ricerche di Matematica | 2017年 / 66卷

关键词：

Evolution equation; Pseudo-monotone operator; Existence result; 47H05; 35K90; 35A01;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this note we present a framework which allows to prove an abstract existence result for evolution equations with pseudo-monotone operators. The assumptions on the spaces and the operators can be easily verified in concrete examples.

引用

页码：35 / 50

页数：15

共 6 条

[1]

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[2]

Browder FE(1963)Nonlinear elliptic boundary value problems Bull. Amer. Math. Soc. 69 862-874

[3]

Hirano N(1989)Nonlinear evolution equations with nonmonotonic perturbations Nonlinear Anal. 13 599-609

[4]

Liu W(2011)Existence and uniqueness of solutions to nonlinear evolution equations with locally monotone operators Nonlinear Anal. 74 7543-7561

[5]

Minty G(1963)On a monotonicity method for the solution of non-linear equations in Banach spaces Proc. Nat. Acad. Sci. USA 50 1038-1041

[6]

Shioji N(1997)Existence of periodic solutions for nonlinear evolution equations with pseudomonotone operators Proceed. Am. Math. Soc. 125 2921-2929

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