Author:
Sánchez Duván Cardona,Kumar Vishvesh,Ruzhansky Michael,Tokmagambetov Niyaz
Abstract
AbstractGiven a smooth manifold M (with or without boundary), in this paper we establish a global functional calculus, without the standard assumption that the operators are classical pseudo-differential operators, and the Gårding inequality for global pseudo-differential operators associated with boundary value problems. The analysis that we follow is free of local coordinate systems. Applications of the Gårding inequality to the global solvability for a class of evolution problems are also considered.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference55 articles.
1. Agmon, S.: The coerciveness problem for integro-differential forms. J. Anal. Math. 6, 183–223 (1958)
2. Atiyah, M.F., Bott, R.: The index problem for manifolds with boundary. In: Differential Analysis, Bombay Colloquium, pp. 175–186. Oxford University Press, London (1964)
3. Atiyah, M.F., Bott, R., Patodi, V.K.: On the heat equation and the index theorem. Invent. Math. 19, 279–330 (1973)
4. Atiyah, M.F., Singer, I.M.: The index of elliptic operators on compact manifolds. Bull. Am. Math. Soc. 69, 422–433 (1963)
5. Atiyah, M.F., Singer, I.M.: The index of elliptic operators. I. Ann. Math. 2(87), 484–530 (1968)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献