Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary
Sánchez D.C. Kumar V. Ruzhansky M. Tokmagambetov N.
July 2023Birkhauser
Advances in Operator Theory
2023#8Issue 3
Given 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.
Boundary value problems , Global analysis , Pseudo-differential operators
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
School of Mathematical Sciences, Queen Mary University of London, London, United Kingdom
Centre de Recerca Matemática, Edifici C, Campus Bellaterra, Barcelona, Bellaterra, 08193, Spain
Institute of Mathematics and Mathematical Modeling, 125 Pushkin Str., Almaty, 050010, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Centre de Recerca Matemática
Institute of Mathematics and Mathematical Modeling
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