A Singular Initial Value Problem to Construct Density-Equalizing Maps

Author:

Avinyó A.,Solà-Morales J.,València M.

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference15 articles.

1. Agarwal R.P., Lakshmikantham V.: Uniqueness and nonuniqueness criteria for ordinary differential equations. World Scientific, Singapore (1993)

2. Avinyó A., Solà-Morales J., València M. et al.: Transformations with a given Jacobian. In: Montenegro, R. (ed.) Actas XVI CEDYA, Congreso de Ecuaciones Diferenciales y Aplicaciones, VI CMA, Congreso de Matemática Aplicada. Servicio de Publicaciones y Producción Documental de la Universidad de Las Palmas de Gran Canaria, pp. 481–487. Las Palmas de Gran Canaria, Spain (1999)

3. Avinyó A., Solà-Morales J., València M.: On maps with given Jacobians involving the heat equation. Z. Angew. Math. Phys. 54(6), 919–936 (2003)

4. Avinyó, A., Solà-Morales, J., València, M.: On the diffusion algorithm for density-equalizing maps with piecewise constant initial data. Math. Methods Appl. Sci. (Submitted)

5. Belonosov, V.S.: Estimates of solutions of parabolic systems in weighted Hölder classes and some of their applications. Mat. Sb. 110, 163–188. English Trans: Math. USSR Sb. 38, 151–173 (1979)

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