Applied Partial Differential Equations MAT1508/APM446
نویسنده
چکیده
1 Local Existence of Evolution Equations 2 1.1 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 The contraction mapping principle . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Local Existence for Evolution Partial Differential Equations . . . . . . . . . . . . 5 1.4 Local Existence for Nonlinear Heat and Hartree Equations . . . . . . . . . . . . . 7 1.5 Classical solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.6 A priori estimates and global existence . . . . . . . . . . . . . . . . . . . . . . . . 11
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