## Tokyo Journal of Mathematics

- Tokyo J. Math.
- Volume 30, Number 1 (2007), 1-19.

### Generalized Burgers Equation with Measure Data

#### Abstract

A generalized Burgers equation with measure data is studied. The existence of a weak solution of an initial boundary-value problem in a bounded cylindrical domain, is established. Time-periodic solutions are shown to exist and an optimization problem related to an inverse problem is considered.

#### Article information

**Source**

Tokyo J. Math., Volume 30, Number 1 (2007), 1-19.

**Dates**

First available in Project Euclid: 20 July 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.tjm/1184963644

**Digital Object Identifier**

doi:10.3836/tjm/1184963644

**Mathematical Reviews number (MathSciNet)**

MR2328052

**Zentralblatt MATH identifier**

1130.35082

**Subjects**

Primary: 35L05: Wave equation

Secondary: 49J20: Optimal control problems involving partial differential equations 49N45: Inverse problems

#### Citation

TON, Bui An. Generalized Burgers Equation with Measure Data. Tokyo J. Math. 30 (2007), no. 1, 1--19. doi:10.3836/tjm/1184963644. https://projecteuclid.org/euclid.tjm/1184963644