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4.4
72 reviewsThis 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