Measure Theory and Nonlinear Evolution Equations

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.

• Presents basic and advanced measure theory with a view toward PDE's • Covers Radon and Young measures, capacity, vector-valued functions, weak convergence, etc. • Of interest to graduate students and researchers working in the analysis of PDE's