**Lectures on Cauchy Problem**

by Sigeru Mizohata

**Publisher**: Tata Institute of Fundamental Research 1965**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

**Pseudodifferential Operators and Nonlinear PDE**

by

**Michael E. Taylor**-

**BirkhĂ¤user Boston**

Since the 1980s, the theory of pseudodifferential operators has yielded many significant results in nonlinear PDE. This monograph is devoted to a summary and reconsideration of some uses of this important tool in nonlinear PDE.

(

**10717**views)

**Linear Partial Differential Equations and Fourier Theory**

by

**Marcus Pivato**-

**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.

(

**28476**views)

**An Introduction to Partial Differential Equations**

by

**Per Kristen Jakobsen**-

**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.

(

**4620**views)

**Introduction to Partial Differential Equations**

by

**John Douglas Moore**-

**UCSB**

The author develops the most basic ideas from the theory of partial differential equations, and apply them to the simplest models arising from physics. He presents some of the mathematics that can be used to describe the vibrating circular membrane.

(

**13573**views)