Weakly continuous operators. Applications to differential equations

Franců, Jan. "Weakly continuous operators. Applications to differential equations." Applications of Mathematics 39.1 (1994): 45-56. <http://eudml.org/doc/32868>.

@article{Franců1994,
abstract = {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.},
author = {Franců, Jan},
journal = {Applications of Mathematics},
keywords = {monotone operators; weakly continuous operators; existence theorems; boundary value problems for differential equations; heat conduction equation; Navier-Stokes equations; existence theorems; boundary value problems},
language = {eng},
number = {1},
pages = {45-56},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weakly continuous operators. Applications to differential equations},
url = {http://eudml.org/doc/32868},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Franců, Jan
TI - Weakly continuous operators. Applications to differential equations
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 1
SP - 45
EP - 56
AB - 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.
LA - eng
KW - monotone operators; weakly continuous operators; existence theorems; boundary value problems for differential equations; heat conduction equation; Navier-Stokes equations; existence theorems; boundary value problems
UR - http://eudml.org/doc/32868
ER -