De Gruyter Studies in Mathematics

1 total work

Measure Theory and Nonlinear Evolution Equations

by Flavia Smarrazzo and Alberto Tesei

Published 19 April 2022

This text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vector-valued functions, different notions of measurability for the latter, weak convergence of functions and measures, Radon and Young measures, capacity. A comprehensive discussion of applications to quasilinear parabolic and hyperbolic problems is provided.