Abstract
The Gårding inequality was first published in 1953 and was stated as follows in [4].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Referneces
[1] J.-M. Bony, Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires, Ann. Sc. Ec. Norm. Sup. 14 (1981), 209–246.
[2] C. Fefferman and D.H. Phong, On positivity of pseudo-differential operators, Proc. Nat. Acad. Sci. 75 (1978), 4673–4674.
[3] C. Fefferman and D.H. Phong, The uncertainty principle and sharp Gårding inequalities, Comm. Pure Appl. Math. 34 (1981), 285–331.
[4] L. Gårding, Dirichlet’s problem for linear elliptic partial differential equations, Math. Scand. 1 (1953), 55–72.
[5] L. Gårding, Solution directe du problème de Cauchy pour les équations hyperboliques, Coll. Int. CNRS, Nancy 1956, pp. 71–90.
[6] L. Hörmander, Pseudo-differential operators and non-elliptic boundary problems, Ann. of Math. 83 (1966), 129–209.
[7] L. Hörmander, The Cauchy problem for differential equations with double characteristics, J. Analyse Math. 32 (1977), 118–196.
[8] L. Hörmander, The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math. 32 (1979), 359–443.
[9] L. Hörmander, The Analysis of Linear Partial Differential Operators III, Springer Verlag, 1985.
[10] L. Hörmander, Propagation of singularities and semiglobal existence theorems for (pseudo-)differential operators of principal type, Ann. of Math. 108 (1978), 569–609.
[11] P.D. Lax and L. Nirenberg, On stability for difference schemes: a sharp form of Gårding’s inequality, Comm. Pure Appl. Math. 19 (1966), 473–492.
[12] A. Melin, Lower bounds for pseudo-differential operators, Ark. Mat. 9 (1971), 117–140.
[13] Li-yeng Sung, Positivity of a system of differential operators, Preprint 1985.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Hörmander, L. (2018). Gårding’s Inequality During Three Decades. In: Unpublished Manuscripts . Springer, Cham. https://doi.org/10.1007/978-3-319-69850-2_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-69850-2_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69849-6
Online ISBN: 978-3-319-69850-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)