2017
Том 69
№ 9

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Boundary-value problems for a nonlinear parabolic equation with Lévy Laplacian resolved with respect to the derivative

Feller M. N., Kovtun I. I.

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Abstract

We present the solutions of boundary-value and initial boundary-value problems for a nonlinear parabolic equation with Lévy Laplacian $∆_L$ resolved with respect to the derivative $$\frac{∂U(t,x)}{∂t}=f(U(t,x),Δ_LU(t,x))$$ in fundamental domains of a Hilbert space.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 10, pp 1625-1634.

Citation Example: Feller M. N., Kovtun I. I. Boundary-value problems for a nonlinear parabolic equation with Lévy Laplacian resolved with respect to the derivative // Ukr. Mat. Zh. - 2010. - 62, № 10. - pp. 1400–1407.

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