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Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations

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  • Sebti Kerbal
  • Mokhtar Kirane

Abstract

Nonexistence of global solutions to ultraparabolic equations and systems is presented. Our results fill a gap in the literature on ultraparabolic equations. The method of proof we use relies on a choice of a suitable test function in the weak formulation of the solutions of the problems under‐study.

Suggested Citation

  • Sebti Kerbal & Mokhtar Kirane, 2011. "Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:149091
    DOI: 10.1155/2011/149091
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    References listed on IDEAS

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    1. Antonelli, Fabio & Barucci, Emilio & Mancino, Maria Elvira, 2001. "Asset pricing with a forward-backward stochastic differential utility," Economics Letters, Elsevier, vol. 72(2), pages 151-157, August.
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