Characterization of sets of determination for parabolic functions on a slab by coparabolic (minimal) thinness

Jarmila Ranošová

Displaying similar documents to “Characterization of sets of determination for parabolic functions on a slab by coparabolic (minimal) thinness”

Sets of determination for parabolic functions on a half-space

Jarmila Ranošová (1994)

Commentationes Mathematicae Universitatis Carolinae

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We characterize all subsets $M$ of $ℝ^{n} \times ℝ^{+}$ such that $sup_{X \in ℝ^{n} \times ℝ^{+}} u (X) = sup_{X \in M} u (X)$ for every bounded parabolic function $u$ on $ℝ^{n} \times ℝ^{+}$ . The closely related problem of representing functions as sums of Weierstrass kernels corresponding to points of $M$ is also considered. The results provide a parabolic counterpart to results for classical harmonic functions in a ball, see References. As a by-product the question of representability of probability continuous distributions as sums of multiples of normal distributions is investigated. ...

Existence and asymptotic behaviour of positive solutions for some nonlinear parabolic systems in the half-space.

Ghanmi, Abdeljabbar, Toumi, Faten (2011)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Large time behavior of solutions to a class of doubly nonlinear parabolic equations

Hua Shui Zhan (2008)

Applications of Mathematics

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We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation $u_{t} = div (u^{m - 1} {| D u |}^{p - 2} D u) - u^{q}$ with an initial condition $u (x, 0) = u_{0} (x)$ . Here the exponents $m$ , $p$ and $q$ satisfy $m + p \geq 3$ , $p > 1$ and $q > m + p - 2$ .

A decomposition theorem for solutions of parabolic equations.

Watson, N.A. (2000)

Annales Academiae Scientiarum Fennicae. Mathematica

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