# Uniqueness results for stokes equations and their consequences in linear and nonlinear control problems

ESAIM: Control, Optimisation and Calculus of Variations (1996)

- Volume: 1, page 267-302
- ISSN: 1292-8119

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topFabre, Caroline. "Uniqueness results for stokes equations and their consequences in linear and nonlinear control problems." ESAIM: Control, Optimisation and Calculus of Variations 1 (1996): 267-302. <http://eudml.org/doc/90499>.

@article{Fabre1996,

author = {Fabre, Caroline},

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

keywords = {Linear and nonlinear Stokes equations; controllability; uniqueness properties; Carleman estimates; approximate controllability; Navier-Stokes equations; linearized Stokes equation; fixed point theorem},

language = {eng},

pages = {267-302},

publisher = {EDP Sciences},

title = {Uniqueness results for stokes equations and their consequences in linear and nonlinear control problems},

url = {http://eudml.org/doc/90499},

volume = {1},

year = {1996},

}

TY - JOUR

AU - Fabre, Caroline

TI - Uniqueness results for stokes equations and their consequences in linear and nonlinear control problems

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 1996

PB - EDP Sciences

VL - 1

SP - 267

EP - 302

LA - eng

KW - Linear and nonlinear Stokes equations; controllability; uniqueness properties; Carleman estimates; approximate controllability; Navier-Stokes equations; linearized Stokes equation; fixed point theorem

UR - http://eudml.org/doc/90499

ER -

## References

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- [2] C. Fabre, J.-P. Puel and E. Zuazua: Approximate controllability of the semilinear heat equation, Proc. of the Royal Soc. of Edinburgh, 125A, 1995, 31-61. Zbl0818.93032MR1318622
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- [8] J.-L. Lions: Remarks on approximate controllability, J. Analyse Math., 59, 1992, 103-116. Zbl0806.35101MR1226954
- [9] X. Saint Raymond: Elementary introduction to the theory of pseudodifferentiel operators. Studies in advance math, 1991. Zbl0847.47035MR1211419
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- [11] J.-C. Saut and B. Scheurer: Unique continuation for some evolution equations, Journal Differential Equations, 66, (1), 1987, 118-139. Zbl0631.35044MR871574
- [12] J.-C. Saut and R. Temam: Generic properties of Navier Stokes equations. Indiana Univ. Math. Journal 29, 1980, 427-445. Zbl0445.76023MR570691
- [13] L. Tartar: Topics in nonlinear analysis. Publications mathématiques d'Orsay, 78.13. Zbl0395.00008
- [14] E. Zuazua: Exact boundary controllability for the semilinear wave equation. Nonlinear differential equations and their applications, H. Brezis and J.-L. Lions Eds., Séminaire du Collège de France 1987-1988, vol X, Research Notes in Mathematics, Pitman, p. 357-391, 1991. Zbl0731.93011MR1131832
- [15] J.-L. Lions and E. Zuazua: A generic uniqueness result for the Stokes System and its control theoretical consequences. In the volume Partial Differential Equations and Applications, P. Marcellini, G. Talenti and E. Visentini eds., Marcel-Dekker Inc., LNPAS # 177, 221-235, 1996. Zbl0852.35112MR1371594

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