Generalized Cole--Hopf transformation

Yu. E. Anikonov ; M. V. Neshchadim

Sibirskij žurnal industrialʹnoj matematiki, Tome 21 (2018) no. 3, pp. 18-25.

Résumé

On the basis of generalization of the Cole–Hopf transformation for parabolic equations with a source, we obtain some new representations of solutions and coefficients of nonlinear parabolic equations of mathematical physics which in fact are differential-algebraic identities. These representations can be used in studying the multidimensional direct and inverse problems.

Détail

Mots-clés : Cole–Hopf transformation
Keywords: nonlinear parabolic equation.

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