A survey of functional and L^p dissipativity theory

2021/11/03 by Cialdea, A., Maz'ya, V.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.02292

Abstract

Various notions of dissipativity type for partial differential operators and their applications are surveyed. We deal with functional dissipativity and its particular case L^p-dissipativity. Most of the results are due to the authors.

Related

• The L^p-dissipativity of certain differential and integral operators
• Criteria for the L^p-dissipativity of systems of second order differential equations
• The functional dissipativity of certain systems of partial differential equations
• Criterion for the functional dissipativity of the Lamé operator
• Criterion for the L^p-dissipativity of second order differential operators with complex coefficients