References
- Alvarez , C , Conca , C , Friz , L , Kavian , O and Ortega , JH . 2005 . Identification of immersed obstacles via boundary measurements . Inverse Probl. , 21 : 1531 – 1552 .
- Ballerini , A . 2010 . Stable determination of an immersed body in a stationary Stokes fluid . Inverse Probl. , 26 : 125015
- Alessandrini , G , Beretta , E , Rosset , E and Vessella , S . 2000 . Optimal stability for inverse elliptic boundary value problems with unknown boundaries . Ann. Scuola Norm. Sup. Pisa Cl. Sci. , XXIX ( 4 ) : 755 – 806 .
- Morassi , A and Rosset , E . 2004 . Stable determination of cavities in elastic bodies . Inverse Probl. , 20 : 453 – 480 .
- Morassi , A and Rosset , E . 2009 . Uniqueness and stability in determining a rigid inclusion in an elastic body . Mem. Amer. Math. Soc. , 200
- Alessandrini , G . 1997 . Examples of instability in inverse boundary value problems . Inverse Probl. , 13 : 35 – 92 .
- Di Cristo , M and Rondi , L . 2003 . Examples of exponential instability for inverse inclusion and scattering problems . Inverse Probl. , 19 ( 3 ) : 685 – 701 .
- Alessandrini , G and Rondi , L . 2001 . Optimal stability for the inverse problem of multiple cavities . J. Differ. Eqns , 176 : 356 – 386 .
- Lin , C , Uhlmann , G and Wang , J . 2010 . Optimal three-ball inequalities and quantitative uniqueness for the Stokes system . Discrete Contin. Dyn. Syst. , 28 : 1273 – 1290 .
- Galdi , GP . An Introduction to the Mathematical Theory of the Navier–Stokes Equations: Vol. II. Nonlinear Steady Problems, Springer Tracts in Natural Philosophy, Vol. 39, Springer-Verlag, New York, 1994
- Temam , R . 2001 . Navier–Stokes Equations: Theory and Numerical Analysis , Providence, RI : American Mathematical Society .
- Ladyzhenskaya , O . 1963 . The Mathematical Theory of Viscous Incompressible Flow , New York : Gordon and Breach .
- Fabre , C and Lebeau , G . 1996 . Prolongement unique des solutions de l'équation de Stokes . Commun. PDE , 21 : 573 – 596 .
- Regbaoui , R . 1999 . Strong unique continuation for Stokes equations . Commun. PDE , 24 : 1891 – 1902 .
- Meyers , MG . 1978 . Integral inequalities of Poincaré and Wirtinger type . Arch. Ration. Mech. Anal. , 68 : 113 – 120 .
- Alessandrini , G , Morassi , A and Rosset , E . 2008 . The linear constraints in Poincaré and Korn type inequalities . Forum Math. , 20 : 557 – 569 .
- Giaquinta , M and Modica , G . 1981 . Non linear systems of the type of the stationary Navier–Stokes system . J. Reine Angew. Math. , 330 : 173 – 214 .
- Alessandrini , G , Rondi , L , Rosset , E and Vessella , S . 2009 . The stability for the Cauchy problem for elliptic equations . Inverse Probl. , 25 47 pages