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. Frontmatter -- Contents -- Preface -- Introduction -- Part I: General Theory -- Outline Of Part I -- 1 Measure Theory -- 2 Scalar Integration And Differentiation -- 3 Function Spaces And Capacity -- 4 Vector Integration -- 5 Sequences Of Finite Radon Measures -- Part Ii: Applications -- Outline Of Part Ii -- 6 Case Study 1: Quasilinear Parabolic Equations -- 7 Case Study 2: Hyperbolic Conservation Laws -- 8 Case Study 3: Forward–backward Parabolic Equations -- Bibliography -- Appendix A Topological Spaces -- List Of Symbols -- Index Alberto Tesei, Flavia Smarrazzo. Mode Of Access: Internet Via World Wide Web. In English.