Geodesic
Concerning an Equation in the Theory of Combustion
Matematičeskie zametki, Tome 88 (2010) no. 1, pp. 53-62

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A model equation in the theory of combustion is considered. For this equation, we establish estimates for the instant of thermal explosion, i.e., of the blow-up of the solution, both for the Cauchy problem and for initial boundary-value problems.
Keywords: nonlinear parabolic equation, theory of combustion, blow-up of a solution, Cauchy problem, Dirichlet problem, initial boundary-value proble.
Mots-clés : thermal explosion 
@article{MZM_2010_88_1_a4,
     author = {S. I. Pokhozhaev},
     title = {Concerning an {Equation} in the {Theory} of {Combustion}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {53--62},
     publisher = {mathdoc},
     volume = {88},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_1_a4/}
}
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S. I. Pokhozhaev. Concerning an Equation in the Theory of Combustion. Matematičeskie zametki, Tome 88 (2010) no. 1, pp. 53-62. http://geodesic.mathdoc.fr/item/MZM_2010_88_1_a4/