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On elliptic systems in \(R^ n\). (English) Zbl 0517.35031


MSC:

35J45 Systems of elliptic equations, general (MSC2000)
35B40 Asymptotic behavior of solutions to PDEs
35E20 General theory of PDEs and systems of PDEs with constant coefficients
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
47A53 (Semi-) Fredholm operators; index theories
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[1] Agmon, S., Douglis, A. &Nirenberg, L., Estimates near the boundary for solutions of elliptic differential equations satisfying general boundary conditions II,Comm. Pure Appl. Math., 17 (1964), 35–92. · Zbl 0123.28706
[2] Cantor, M., Elliptic operators and the decomposition of vector fields.Bull. Amer. Math. Soc., 5 (1981), 235–262. · Zbl 0481.58023
[3] Cantor, M., Spaces of functions with asymptotic conditions onR n ,Indiana J. Math., 24 (1975), 897–902. · Zbl 0441.46028
[4] Choquet-Bruhat, Y. &Christodoulou, D., Elliptic systems inH s,{\(\delta\)} spaces on manifolds which are euclidean at infinity.Acta Math., 146 (1981), 129–150. · Zbl 0484.58028
[5] Douglis, A. &Nirenberg, L., Interior estimates for elliptic systems of partial differential equations.Comm. Pure Appl. Math., 8 (1955), 503–538. · Zbl 0066.08002
[6] Lockhart, R., Fredholm properties of a class of elliptic operators on non-compact manifolds,Duke Math. J., 48 (1981), 289–312. · Zbl 0486.35027
[7] McOwen, R., Behavior of the Laplacian on weighted Sobolev spaces.Comm. Pure Appl. Math., 32 (1979), 783–795. · Zbl 0426.35029
[8] McOwen, R., On elliptic operators inR n .Comm. Partial Differential Equations, 5 (1980), 913–933. · Zbl 0448.35042
[9] Nirenberg, L. &Walker, H., Nullspaces of elliptic partial differential operators inR n .J. Math. Anal. Appl., 42 (1973), 271–301. · Zbl 0272.35029
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