Geodesic
Solvability of nonlinear heat equation in class of unbounded functions with degeneration of coefficient near derivative with respect to time
Dalʹnevostočnyj matematičeskij žurnal, Tome 7 (2007) no. 1, pp. 3-16 
E. G. Agapova. Solvability of nonlinear heat equation in class of unbounded functions with degeneration of coefficient near derivative with respect to time. Dalʹnevostočnyj matematičeskij žurnal, Tome 7 (2007) no. 1, pp. 3-16. http://geodesic.mathdoc.fr/item/DVMG_2007_7_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider quasilinear parabolic equations which degenerate on a solution due to a multiplier of the derivative with respect to time. In the many-dimensional case, we prove the existence of a solution of a general boundary-value problem from a class of unbounded functions. Restrictions to nonlinearity of the multiplier of the derivative with respect to time are different from ones considered before by other authors.

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