By José Miguel Urbano
This set of lectures, which had its starting place in a mini direction brought on the summer season software of IMPA (Rio de Janeiro), is an advent to intrinsic scaling, a robust process within the research of degenerate and singular PDEs.In the 1st half, the speculation is gifted from scratch for the version case of the degenerate p-Laplace equation. the second one half offers with 3 functions of the idea to suitable versions coming up from flows in porous media and section transitions.
Read Online or Download The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs (Lecture Notes in Mathematics) PDF
Best Differential Equations books
Emphasizing the actual interpretation of mathematical options, this booklet introduces utilized arithmetic whereas offering partial differential equations. subject matters addressed comprise warmth equation, approach to separation of variables, Fourier sequence, Sturm-Liouville eigenvalue difficulties, finite distinction numerical tools for partial differential equations, nonhomogeneous difficulties, Green's capabilities for time-independent difficulties, countless area difficulties, Green's capabilities for wave and warmth equations, the tactic of features for linear and quasi-linear wave equations and a quick advent to Laplace remodel resolution of partial differential equations.
Additional resources for The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs (Lecture Notes in Mathematics)
- Download E-books Superdiffusions and Positive Solutions of Nonlinear PDEs PDF
- Download E-books Functional Inequalities: New Perspectives and New Applications (Mathematical Surveys and Monographs) PDF