Existence versus instantaneous blow-up for linear heat equations with singular potentials;Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 329, Issue 11, 1999, Pages 973-978

  Cabré, Xavier ^a   Martel, Yvan ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITÉ DE CERGY PONTOISE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033472884     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)88588-2     Document Type: Article

References (10)

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3. Brézis H., Marcus M., Hardy's inequalities revisited, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 25 (1997) 217-237.
4. Brézis H., Vázquez J.L., Blow-up solutions of some nonlinear elliptic problems, Rev. Mat. Univ. Compl. Madrid 10 (1997) 443-469.
5. Cabré X., Martel Y., Linear Heat Equations with Singular Potentials and Hardy's Inequalities, (en préparation).
6. Davies E.B., The hardy constant, Quart. J. Math. Oxford 46 (1995) 417-431.
7. Garcia Azorero J.P., Peral I., Hardy Inequalities and Some Critical Elliptic and Parabolic Problems, (à paraître).
8. t-δu = g(u), Ann. Inst. H.-poincare, Anal. Non Linéaire 15 (1998) 687-723.
9. Peral I., Vázquez J.L., On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term, Arch. Rat. Mech. Anal. 129 (1995) 201-224.
10. Vázquez J.L., Zuazua E., The Hardy Inequality and the Asymptotic Behaviour of The Heat Equation with an Inverse-square Potential, (à paraître).