Initial Value Problems

This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday.

The most important thing is to write equations in a beautiful form and their success in applications is ensured. Paul Dirac The uniqueness and existence theorems for the solutions of boundary and initial value problems for systems of high-order partial differential equations (PDE) are sufficiently well known.

This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon.

A First Course in Partial Differential Equations: with Complex Variables and Transform Methods

by H. F. Weinberger

ISBN: 048668640X
Dover Publications


Text presents the general properties of partial differential equations such as characteristics, domains of independence and maximum principles. Solutions.

by Reinhard Racke (Author)
It serves since the first edition as a self-contained introduction into methods dealing with Cauchy problems for nonlinear evolutions equations presenting details for graduate students
Giving a survey for researchers in particular with an advanced topic on waveguides in the second edition
Only existing in separate original papers before