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About Small-Power Semilinear Wave Equations

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Partial Differential Equations and Mathematical Physics

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 21))

Abstract

Let us consider semilinear Cauchy problems of the form

$$ \left\{ {\begin{array}{*{20}{c}} {\square u = c{{\left| u \right|}^p},}&{\left( {t,x} \right) \in \mathbb{R}_ + ^{1 + n}} \\ {u\left( {0,x} \right) = f\left( x \right),}&{{\partial _t}u\left( {0,x} \right) = g\left( x \right).} \end{array}} \right. $$
((1))

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Author information

Authors and Affiliations

  1. Princeton University, USA

    Hans Lindblad

  2. University of California, Los Angeles, USA

    Christopher D. Sogge

Authors
  1. Hans Lindblad
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  2. Christopher D. Sogge
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Lund, S-221 00, Lund, Sweden

    Lars Hörmander  & Anders Melin  & 

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© 1996 Springer Science+Business Media New York

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Lindblad, H., Sogge, C.D. (1996). About Small-Power Semilinear Wave Equations. In: Hörmander, L., Melin, A. (eds) Partial Differential Equations and Mathematical Physics. Progress in Nonlinear Differential Equations and Their Applications, vol 21. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0775-7_14

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  • DOI: https://doi.org/10.1007/978-1-4612-0775-7_14

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6897-0

  • Online ISBN: 978-1-4612-0775-7

  • eBook Packages: Springer Book Archive

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