Differential and Integral Equations

Approaching metasolutions by solutions

Julián López-Gómez

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Abstract

In this paper we complete the theory of metasolutions already developed in [8], [7], and [13] by showing how those metasolutions can be approached by means of classical solutions; metasolutions are large solutions extended to infinity. This result has important consequences not only from the point of view of the abstract theory, but also from the point of view of the numerical computation of the metasolutions in real applications.

Article information

Source
Differential Integral Equations, Volume 14, Number 6 (2001), 739-750.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123244

Mathematical Reviews number (MathSciNet)
MR1826958

Zentralblatt MATH identifier
1161.35433

Subjects
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35B20: Perturbations 35D10 35K55: Nonlinear parabolic equations

Citation

López-Gómez, Julián. Approaching metasolutions by solutions. Differential Integral Equations 14 (2001), no. 6, 739--750. https://projecteuclid.org/euclid.die/1356123244


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