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The Pullback Equation

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Vector-Valued Partial Differential Equations and Applications

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2179))

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Abstract

The aim of this course is the study of the pullback equation. More precisely we want to find a map \(\varphi: \mathbb{R}^{n} \rightarrow \mathbb{R}^{n},\) preferably we want this map to be a diffeomorphism, that satisfies the above equation, where f, g are differential k-forms, 0 ≤ k ≤ n. Most of the time we will require these two forms to be closed.

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Authors and Affiliations

  1. Section de Mathématiques, EPFL, 1015, Lausanne, Switzerland

    Bernard Dacorogna

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  1. Bernard Dacorogna
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Correspondence to Bernard Dacorogna .

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  1. Mathematical Institute, University of Oxford , Oxford, United Kingdom

    John Ball

  2. Dipartimento di Matematica, Università di Firenze, Firenze, Italy

    Paolo Marcellini

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Dacorogna, B. (2017). The Pullback Equation. In: Ball, J., Marcellini, P. (eds) Vector-Valued Partial Differential Equations and Applications. Lecture Notes in Mathematics(), vol 2179. Springer, Cham. https://doi.org/10.1007/978-3-319-54514-1_1

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