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Keywords: correspondence principle
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Chapter
The Correspondence Principle for Compatible Operoperatoator-Subequation Pairs
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Marco Cirant and others
Published: 03 October 2023
... viscosity solution correspondence principle theorem branches structure theorem canonical operator topologically tame duality xi subequations positively homogeneous of degree sublinear function edge of a monotonicity cone monotonicity cone ix polar seminorm transversality Cone Gårding...
Chapter
A Comprehensive Introduction
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Marco Cirant and others
Published: 03 October 2023
...This introductory chapter explores the correspondence principle, which is brought about by a combination of two points of view. The first is proving comparison principles with respect to a constant-coefficient nonlinear potential theory, in a very straightforward manner, from duality...
Chapter
Comparison Principles for Operators with Sufficient Monotonicity
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Marco Cirant and others
Published: 03 October 2023
...This chapter illustrates the use of the correspondence principle laid out in the previous chapter. This represents the part of the theory in which there is an equivalence between comparison at the potential-theoretic (subequation ℱ) level and the PDE (operator F ) level. The chapter...