# Optimality conditions for semilinear parabolic equations with controls in leading term*

ESAIM: Control, Optimisation and Calculus of Variations (2011)

- Volume: 17, Issue: 4, page 975-994
- ISSN: 1292-8119

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topLou, Hongwei. "Optimality conditions for semilinear parabolic equations with controls in leading term*." ESAIM: Control, Optimisation and Calculus of Variations 17.4 (2011): 975-994. <http://eudml.org/doc/221936>.

@article{Lou2011,

abstract = {
An optimal control problem for
semilinear parabolic partial differential equations is considered.
The control variable appears in the leading term of the equation.
Necessary conditions for optimal controls are established by the
method of homogenizing spike variation. Results for problems with
state constraints are also stated.
},

author = {Lou, Hongwei},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Optimal control; necessary conditions; parabolic equation; homogenized spike variation; semilinear parabolic partial differential equations; necessary conditions for optimal controls; method of homogenizing spike variation},

language = {eng},

month = {11},

number = {4},

pages = {975-994},

publisher = {EDP Sciences},

title = {Optimality conditions for semilinear parabolic equations with controls in leading term*},

url = {http://eudml.org/doc/221936},

volume = {17},

year = {2011},

}

TY - JOUR

AU - Lou, Hongwei

TI - Optimality conditions for semilinear parabolic equations with controls in leading term*

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2011/11//

PB - EDP Sciences

VL - 17

IS - 4

SP - 975

EP - 994

AB -
An optimal control problem for
semilinear parabolic partial differential equations is considered.
The control variable appears in the leading term of the equation.
Necessary conditions for optimal controls are established by the
method of homogenizing spike variation. Results for problems with
state constraints are also stated.

LA - eng

KW - Optimal control; necessary conditions; parabolic equation; homogenized spike variation; semilinear parabolic partial differential equations; necessary conditions for optimal controls; method of homogenizing spike variation

UR - http://eudml.org/doc/221936

ER -

## References

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