TY - JOUR

T1 - Imbedding of any vector field in a scalar semilinear parabolic equation

AU - Poláčik, P.

PY - 1992/8

Y1 - 1992/8

N2 - The scalar semilinear parabolic equation on a smooth bounded convex domain Si c M.N under Neumann boundary condition (2)is considered. For any prescribed vector field H on ℝN, a function f is found such that the flow of (1), (2) has an invariant A^-dimensional subspace and the vector field generating the flow of (1), (2) on this invariant subspace coincides, in appropriate coordinates, with H.

AB - The scalar semilinear parabolic equation on a smooth bounded convex domain Si c M.N under Neumann boundary condition (2)is considered. For any prescribed vector field H on ℝN, a function f is found such that the flow of (1), (2) has an invariant A^-dimensional subspace and the vector field generating the flow of (1), (2) on this invariant subspace coincides, in appropriate coordinates, with H.

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U2 - 10.1090/S0002-9939-1992-1089411-7

DO - 10.1090/S0002-9939-1992-1089411-7

M3 - Article

AN - SCOPUS:84966242028

VL - 115

SP - 1001

EP - 1008

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -