By Kai-Seng Chou,Xi-Ping Zhu
The authors current an entire remedy of the Gage-Hamilton theorem, a transparent, specific exposition of Grayson's convexity theorem, a scientific dialogue of invariant strategies, purposes to the life of easy closed geodesics on a floor, and a brand new, virtually convexity theorem for the generalized curve shortening problem.
Many questions concerning curve shortening stay notable. With its cautious exposition and entire consultant to the literature, The Curve Shortening challenge offers not just a very good place to begin for graduate scholars and new investigations, yet an outstanding reference that offers interesting new effects for these already lively within the field.
Read Online or Download The Curve Shortening Problem PDF
Similar differential equations books
As is celebrated, the good Divide (a. okay. a. The Continental Divide) is shaped via the Rocky Mountains stretching from north to south throughout North the US. It creates a digital "stone wall" so excessive that wind, rain, snow, and so on. can't go it. This retains the elements certain on either side. on account that railroad trains can't climb steep grades and tunnels via those mountains are virtually bold, the Canadian Pacific Railroad sought for a mountain go delivering the bottom grade for its tracks.
A virtually solely self-taught mathematical genius, George eco-friendly (1793 –1841) is healthier recognized for Green's theorem, that is utilized in just about all computing device codes that remedy partial differential equations. He additionally released influential essays, or papers, within the fields of hydrodynamics, electrical energy, and magnetism.
Differential Equations: conception, process, and perform with Boundary worth difficulties provides classical principles and state of the art innovations for a modern, undergraduate-level, one- or two-semester path on traditional differential equations. Authored by way of a broadly revered researcher and instructor, the textual content covers normal issues resembling partial differential equations (PDEs), boundary worth difficulties, numerical equipment, and dynamical platforms.
This e-book offers a accomplished creation to Finsler geometry within the language of present-day arithmetic. via Finsler geometry, it additionally introduces the reader to different buildings and strategies of differential geometry. necessities for interpreting the booklet are minimum: undergraduate linear algebra (over the reals) and research.
- Ordinary Differential Equations: Introduction to the Theory of Ordinary Differential Equations in the Real Domain (Studies in Applied Mechanics)
- Meanders: Sturm Global Attractors, Seaweed Lie Algebras and Classical Yang-Baxter Equation
- Stable Solutions of Elliptic Partial Differential Equations (Monographs and Surveys in Pure and Applied Mathematics)
- Partielle Differentialgleichungen der Geometrie und der Physik 2: Funktionalanalytische Lösungsmethoden (Springer-Lehrbuch Masterclass) (German Edition)
Extra info for The Curve Shortening Problem