A remark on the uniqueness of fundamental solutions to the -Laplacian equation, .
Laurençot, Ph. (1998)
Portugaliae Mathematica
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Displaying similar documents to “A decomposition theorem for solutions of parabolic equations.”
A remark on the uniqueness of fundamental solutions to the -Laplacian equation, .
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 of such that for every bounded parabolic function on . The closely related problem of representing functions as sums of Weierstrass kernels corresponding to points of 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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Regularity and uniqueness in quasilinear parabolic systems
Pavel Krejčí, Lucia Panizzi (2011)
Applications of Mathematics
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Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.