**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.

(

**6213**views)

**Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problems**

by

**Marco Squassina**-

**Electronic Journal of Differential Equations**

A survey of results about existence, multiplicity, perturbation from symmetry and concentration phenomena for a class of quasi-linear elliptic equations coming from functionals of the calculus of variations which turn out to be merely continuous.

(

**4239**views)

**Mathematical Theory of Scattering Resonances**

by

**Semyon Dyatlov, Maciej Zworski**-

**MIT**

Contents: Scattering resonances in dimension one; Resonances for potentials in odd dimensions; Black box scattering in Rn; The method of complex scaling; Perturbation theory for resonances; Resolvent estimates in semiclassical scattering; etc.

(

**4307**views)

**Partial Differential Equations**

by

**Erich Miersemann**-

**Leipzig University**

These lecture notes are intended as a straightforward introduction to partial differential equations which can serve as a textbook for undergraduate and beginning graduate students. Some material of the lecture notes was taken from some other books.

(

**6034**views)