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We give sufficient conditions for some underdetermined elliptic PDE of any order to construct smooth compactly supported solutions.
J. J. Kohn and L. Nirenberg, Non-coercive boundary value problems , Comm. Pure Appl. Math. 18
1965
Earlier work this paper cites.
Lars Hörmander, Pseudo-differential operators and non-elliptic boundary problems , Ann. of Math. (2) 83
1966
Earlier work this paper cites.
C.B. Morrey, Multiple integrals in the calculus of variation , Die Grundlehren der mathematischen Wissenschaften, Band 130, Springer Verlag, Berlin, Heidelberg, New York, 1966. MR MR0202511 (34 #2380)
1966
Earlier work this paper cites.
M. Berger and D. Ebin, Some decompositions of the space of symmetric tensors on a Riemannian manifold , Jour. Diff. Geom. 3
1969
Earlier work this paper cites.
David G. Ebin, The manifold of Riemannian metrics , Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 11–40. MR 0267604 (42 #2506)
1970
Earlier work this paper cites.
Arthur E. Fischer and Jerrold E. Marsden, Manifolds of Riemannian metrics with prescribed scalar curvature , Bull. Amer. Math. Soc. 80
1974
Earlier work this paper cites.
J.-P. Bourguignon, D.G. Ebin, and J.E. Marsden, Sur le noyau des opérateurs pseudo-différentiels à symbole surjectif et non injectif , C. R. Acad. Sci. Paris Sér. A 282
1976
Earlier work this paper cites.
I. Ekeland and R. Temam, Convex analysis and variational problems , Studies in Math. and its Appl., vol. 1, North Holland, Amsterdam, 1976
1976
Earlier work this paper cites.
D. Christodoulou and Y. Choquet-Bruhat, Elliptic systems in H s , δ {H}_{s,\delta} spaces on manifolds which are Euclidean at infinity , Acta. Math. 146
1981
Earlier work this paper cites.
D. Christodoulou and N. O’Murchadha, The Boost Problem in General Relativity , Comm. Math. Phys. 80
1981
Earlier work this paper cites.
B.Y. Chen and T. Nagano, Harmonic metrics, harmonic tensors, and Gauss maps , 36
1984
Earlier work this paper cites.
by same author, The analysis of linear partial differential operators. III , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 274, Springer-Verlag, Berlin, 1994, Pseudo-differential operators, Corrected reprint of the 1985 original. MR 1313500 (95h:35255)
1985
Earlier work this paper cites.
P. Gauduchon, Structures de weyl et théorèmes d’annulation sur une variété conforme autoduale , Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18
1991
Earlier work this paper cites.
L. Andersson, Elliptic systems on manifolds with asymptotically negative curvature , Indiana Univ. Math. Jour. 42
1993
Cited alongside, same era.
G. P. Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations , Springer (1994)
1994
Cited alongside, same era.
J. Isenberg, Constant mean curvature solutions of the einstein constraint equations on closed manifolds , Classical and Quantum Gravity 12
1995
Cited alongside, same era.
Michael E. Taylor, Partial differential equations I , Texts in Applied Mathematics, vol. 23, Springer-Verlag, New York, 1996, Basic theory. MR 1395147 (98b:35002a)
1996
Cited alongside, same era.
R. Beig, Generalized Bowen-York initial data , Mathematical and Quantum Aspects of Relativity and Cosmology (2000), S Cotsakis and G W Gibbons (Eds.) LNP 537 Berlin: Springer
2000
Cited alongside, same era.
Gen Nakamura, Gunther Uhlmann, and Jenn-Nan Wang, Unique continuation property for elliptic systems and crack determination in anisotropic elasticity , Contemp. Math. 362
2004
Later among the works it cites.
P. Bizoń, T. Chmaj, and B.G. Schmidt, Critical behavior in vacuum gravitational collapse in 4+1 dimensions , Phys. Rev. Lett. 95
2005
Later among the works it cites.
J. Corvino and R. Schoen, On the asymptotics for the vacuum Einstein constraint equations , J. Differential Geom. 73
2006
Later among the works it cites.
S. Dain, Generalized Korn’s inequality and conformal killing vectors , Calc. Var. Part. Diff. Equ. 25
2006
Later among the works it cites.
J.M. Lee, Fredholm operators and Einstein metrics on conformally compact manifolds , Mem. Amer. Math. Soc. 183
2006
Later among the works it cites.
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J. Corvino, Scalar curvature deformation and a gluing construction for the Einstein constraint equations , Commun. Math. Phys. 214
2000
Cited alongside, same era.
T. Kato, M. Mitrea G. Ponce, and M. Taylor, Extension and representation of divergence-free vector fields on bounded domains , Math. Research Letters 7
2000
Cited alongside, same era.
J. Isenberg, R. Mazzeo, and D. Pollack, Gluing and wormholes for the Einstein constraint equations , Commun. Math. Phys. 231
2002
Cited alongside, same era.
P. T. Chruściel and E. Delay, On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications , Mémoires de la S.M.F. (2003), 103p
2003
Cited alongside, same era.
W. Qiu, Interior regularity of solutions of the isotropically constrained plateau problem , Comm. Analysis. Geom. 11
2003
Cited alongside, same era.
R. Beig and W. Krammer, Bowen-York tensors , Class. Quantum Grav. 21
2004
Cited alongside, same era.
T. Branson, A. Čap, M. Eastwood, and R. Gover, Prolongations of geometric overdetermined systems , (2004), arXiv:math.DG/0402100v2
2004
Cited alongside, same era.
by same author, On the existence and stability of the penrose compactification , Ann. Henri Poincaré 8
2007
Later among the works it cites.
G. Vassal, Structures conformes asymptotiquement plates , arXiv:0810.2466 (2008)
2008
Later among the works it cites.
G. Wand and D. Yang, Decomposition of vector-valued divergence free Sobolev functions and shape optimization for stationary Navier-Stokes equations , Comm. in P. D. E. 33
2008
Later among the works it cites.
A. Chruściel and E. Delay, Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature , Comm. Anal. Geom. 17
2009
Later among the works it cites.
2009
Later among the works it cites.
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