# Complete bounded null curves immersed in $${\mathbb {C}^3}$$ and $${\rm {SL}(2,\mathbb {C})}$$

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No abstract available.

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For any compact n-dimensional Riemannian manifold ( M, g) without boundary, a compact Riemannian manifold $$N \subset {\mathbb{R}}^{k}$$ without boundary, and 0 < T â‰¦ +âˆž, we prove that for n â‰§ 4, if u : M Ã— (0, T] â†’ N is a weak solution to the heat flow of harmonic...

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Consideration is given to the gradient methods of solution of the inverse heat-conduction problem on determination of the nonlinear coefficient Î»(T) without its preliminary finite-dimensional approximation.