Initial value problems for heat equations generated by strongly elliptic $$(\rho ,\Lambda )$$-pseudo-differential operators on $${\mathbb {R}}^{n}$$
Author:
Funder
Natural Sciences and Engineering Research Council of Canada
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s11868-022-00483-6.pdf
Reference11 articles.
1. Agmon, S., Douglis, A., Nirenberg, L.: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I. Commun. Pure Appl. Math. 12, 623–727 (1959)
2. Catan$$\breve{{\rm a}}$$, V.: M-hypoelliptic pseudo-differential operators on $$L^{p} ({\mathbb{R}}^{n})$$. Appl. Anal. 87, 657–666 (2008)
3. Catan$$\breve{{\rm a}}$$, V.: Essential spectra and semigroups of perturbations of M-hypoelliptic pseudo-differential operators on $$L^p({\mathbb{R}}^n)$$. Complex Var. Elliptic Equ. 54, 731–744 (2009)
4. Davies, E.B.: One-Parameter Semigroups. Academic Press, London (1980)
5. Davies, E.B.: Linear Operators and their Spectra. Cambridge University Press, Cambridge (2007)
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