Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups
Lorenzo D'Ambrosio;
2018-01-01
Abstract
Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.File in questo prodotto:
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[2191950X - Advances in Nonlinear Analysis] Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups.pdf
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