JournalszaaVol. 18, No. 4pp. 939–951

Nonlinear Hyperbolic Equations with Dissipative Temporal and Spatial Non-Local Memory

  • F. Mošna

    Charles University, Prague, Czech Republic
  • Jindřich Nečas

    Charles University, Prague, Czech Republic
Nonlinear Hyperbolic Equations with Dissipative Temporal and Spatial Non-Local Memory cover
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Abstract

The equation governing the evolution of a displacement vector in an elastic body with dissipative temporal and spatial non-local memory is considered. The memory term is generated by a singular but integrable kernel. The existence of a global weak solution to the associated initial- boundary problem is established by constructing Calerkin approximations and deriving a suitable energy estimate.

Cite this article

F. Mošna, Jindřich Nečas, Nonlinear Hyperbolic Equations with Dissipative Temporal and Spatial Non-Local Memory. Z. Anal. Anwend. 18 (1999), no. 4, pp. 939–951

DOI 10.4171/ZAA/922