**Introduction to Partial Differential Equations**

by Valeriy Serov

**Publisher**: University of Oulu 2011**Number of pages**: 122

**Description**:

Contents: Preliminaries; Local Existence Theory; Fourier Series; One-dimensional Heat Equation; One-dimensional Wave Equation; Laplace Equation in Rectangle and in Disk; The Laplace Operator; The Dirichlet and Neumann Problems; Layer Potentials; The Heat Operator; The Wave Operator.

Download or read it online for free here:

**Download link**

(790KB, PDF)

## Similar books

**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.

(

**9164**views)

**Hilbert Space Methods for Partial Differential Equations**

by

**R. E. Showalter**-

**Pitman**

Written for beginning graduate students of mathematics, engineering, and the physical sciences. It covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, etc.

(

**11399**views)

**Partial Differential Equations with Maple**

by

**Robert Piche, Keijo Ruohonen**-

**Tampere University of Technology**

The course presents the basic theory and solution techniques for the partial differential equation problems most commonly encountered in science. The student is assumed to know something about linear algebra and ordinary differential equations.

(

**5427**views)

**Partial Differential Equations for Finance**

by

**Robert V. Kohn**-

**New York University**

An introduction to those aspects of partial differential equations and optimal control most relevant to finance: PDE’s naturally associated to diffusion processes, Kolmogorov equations and their applications, linear parabolic equations, etc.

(

**17152**views)