Advances in Differential Equations

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

Davide Guidetti

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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

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.


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