Partial Differential Equations Iii: Nonlinear E... Info

Sobolev, Hölder, Hardy, and Morrey spaces to measure the regularity and "smoothness" of solutions.

The book concludes by applying all these tools to the most influential equations in modern science: Partial Differential Equations III: Nonlinear E...

: The narrative peaks with General Relativity , where the geometry of space-time itself is treated as a nonlinear PDE system. New in the Third Edition (2023) Sobolev, Hölder, Hardy, and Morrey spaces to measure

: The definitive models for describing the flow of incompressible fluids, from water in a pipe to air over a wing. The latest version on Springer Nature includes expanded

The latest version on Springer Nature includes expanded sections on: and Quantum Mechanics .

: This covers "diffusion" processes where things spread out over time. Key topics include semilinear equations and their applications to Harmonic Maps and reaction-diffusion systems, which model everything from chemical reactions to biological patterns.