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Phase Space Analysis for Wave Models

In: Methods for Partial Differential Equations

Author

Listed:
  • Marcelo R. Ebert

    (University of São Paulo, Department of Computing and Mathematics)

  • Michael Reissig

    (TU Bergakademie Freiberg, Institute of Applied Analysis)

Abstract

This chapter treats in detail phase space analysis for wave models. We begin with the elementary proof of well-posedness results for solutions to the Cauchy problem for the free wave equation. The classical damped wave model serves as an example of how to prove sharp decay estimates for the wave energy of solutions by using phase space analysis.

Suggested Citation

  • Marcelo R. Ebert & Michael Reissig, 2018. "Phase Space Analysis for Wave Models," Springer Books, in: Methods for Partial Differential Equations, chapter 0, pages 191-226, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-66456-9_14
    DOI: 10.1007/978-3-319-66456-9_14
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