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Title: Weakly continuous operators. Applications to differential equations (English)
Author: Franců, Jan
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 39
Issue: 1
Year: 1994
Pages: 45-56
Summary lang: English
Category: math
Summary: The paper is a supplement to a survey by J. Franců: Monotone operators, A survey directed to differential equations, Aplikace Matematiky, 35(1990), 257–301. An abstract existence theorem for the equation $Au = b$ with a coercive weakly continuous operator is proved. The application to boundary value problems for differential equations is illustrated on two examples. Although this generalization of monotone operator theory is not as general as the M-condition, it is sufficient for many technical applications. (English)
Keyword: monotone operators
Keyword: weakly continuous operators
Keyword: existence theorems
Keyword: boundary value problems for differential equations
Keyword: heat conduction equation
Keyword: Navier-Stokes equations
MSC: 35-02
MSC: 35A05
MSC: 35F30
MSC: 47H05
MSC: 76D05
idZBL: Zbl 0808.47038
idMR: MR1254746
DOI: 10.21136/AM.1994.134242
Date available: 2009-09-22T17:42:39Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] J. Franců: Monotone operators, Survey directed to differential equations.Aplikace matematiky 35 (1990), 257–301. MR 1065003


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