## Advances in Differential Equations

- Adv. Differential Equations
- Volume 6, Number 8 (2001), 897-930.

### The mixed Cauchy-Dirichlet problem for the heat equation in a plane angle in spaces of Hölder-continuous functions

#### Abstract

The classical heat equation with Dirichlet boundary conditions is studied in a plane angle in spaces of Hölder-continuous functions, even of negative order. We consider also the problem in spaces of continuous functions.

#### Article information

**Source**

Adv. Differential Equations, Volume 6, Number 8 (2001), 897-930.

**Dates**

First available in Project Euclid: 2 January 2013

**Permanent link to this document**

https://projecteuclid.org/euclid.ade/1357140552

**Mathematical Reviews number (MathSciNet)**

MR1828498

**Zentralblatt MATH identifier**

1004.35055

**Subjects**

Primary: 35K05: Heat equation

Secondary: 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation [See also 31Axx, 31Bxx]

#### Citation

Guidetti, Davide. The mixed Cauchy-Dirichlet problem for the heat equation in a plane angle in spaces of Hölder-continuous functions. Adv. Differential Equations 6 (2001), no. 8, 897--930. https://projecteuclid.org/euclid.ade/1357140552