A description of self-similar Blow-up for dimensions n ⩾ 3

  • J. Bebernes

    Department of Mathematics, University of Colorado, Boulder, CO 80309 U.S.A.
  • D. Eberly

    Department of Mathematics, University of Texas, San Antonio, TX 78285 U.S.A.

Abstract

A precise description of the asymptotic behavior near the blowup singularity for solutions of ut − Δu = f(u) which blowups in finite time T is given.

Résumé

On établie une description précise de la conduite asymptotique autour de la singularité de l’explosion totale pour la solution de l’équation ut − Δu = (u).

Cite this article

J. Bebernes, D. Eberly, A description of self-similar Blow-up for dimensions n ⩾ 3. Ann. Inst. H. Poincaré Anal. Non Linéaire 5 (1988), no. 1, pp. 1–21

DOI 10.1016/S0294-1449(16)30352-3