×

The null spaces of elliptic partial differential operators in R\(^n\). (English) Zbl 0272.35029


MSC:

35J30 Higher-order elliptic equations
47F05 General theory of partial differential operators
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Agmon, S.; Douglis, A.; Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math., 12, 623-727 (1959) · Zbl 0093.10401
[2] Agmon, S., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II, Comm. Pure Appl. Math., 17, 35-92 (1964) · Zbl 0123.28706
[3] Friedman, A., Partial Differential Equations (1969), Holt, Rinehart, and Winston: Holt, Rinehart, and Winston New York
[4] Hardy, G. H.; Littlewood, I. E.; Polya, G., Inequalities (1934), Cambridge University Press: Cambridge University Press Cambridge · Zbl 0010.10703
[5] Hörmander, L., Linear partial differential operators, (Die Grundlehren der Math. Wissenschaften, Band 116 (1964), Springer-Verlag: Springer-Verlag New York) · Zbl 0131.31804
[6] John, F., Plane Waves and Spherical Means Applied to Partial Differential Equations (1955), Interscience Publishers: Interscience Publishers New York · Zbl 0067.32101
[7] Lax, P. D.; Phillips, R. S., Scattering theory, The Rocky Mountain Journal of Mathematics, 1, 173-223 (1971) · Zbl 0212.43802
[8] Pliś, A., A smooth linear elliptic differential equation without any solutions in a sphere, Comm. Pure Appl. Math., 14, 599-617 (1961) · Zbl 0163.13103
[9] Stein, E. M., Note on singular integrals, (Proc. Amer. Math. Soc., 8 (1957)), 250-254 · Zbl 0077.27301
[10] Walker, H. F., On the null spaces of first-order elliptic partial differential operators in \(R^n\), (Proc. Amer. Math. Soc., 30 (1971)), 278-286 · Zbl 0202.37902
[11] H. F. Walker\(R^n \)Trans. Amer. Math. Soc.; H. F. Walker\(R^n \)Trans. Amer. Math. Soc. · Zbl 0265.35037
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.