Logo

Lectures on Cauchy Problem by Sigeru Mizohata

Small book cover: Lectures on Cauchy Problem

Lectures on Cauchy Problem
by

Publisher: Tata Institute of Fundamental Research
Number of pages: 191

Description:
A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions which are given on a hypersurface in the domain. Cauchy problems are an extension of initial value problems and are to be contrasted with boundary value problems.

Download or read it online for free here:
Download link
(940KB, PDF)

Similar books

Book cover: Partial Differential Equations of Mathematical PhysicsPartial Differential Equations of Mathematical Physics
by - Rice University
This course aims to make students aware of the physical origins of the main partial differential equations of classical mathematical physics, including the equations of fluid and solid mechanics, thermodynamics, and classical electrodynamics.
(18244 views)
Book cover: Introduction to the Numerical Integration of PDEsIntroduction to the Numerical Integration of PDEs
by - University of Durham
In these notes, we describe the design of a small C++ program which solves numerically the sine-Gordon equation. The program is build progressively to make it multipurpose and easy to modify to solve any system of partial differential equations.
(15143 views)
Book cover: Linear Partial Differential Equations and Fourier TheoryLinear Partial Differential Equations and Fourier Theory
by - Cambridge University Press
Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.
(31299 views)
Book cover: An Introduction to Partial Differential EquationsAn Introduction to Partial Differential Equations
by - arXiv.org
These lecture notes view the subject through the lens of applied mathematics. The physical context for basic equations like the heat equation, the wave equation and the Laplace equation are introduced early on, and the focus is on methods.
(6533 views)