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Integrable Anisotropic Evolution Equations on a Sphere [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2005 V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations.
Anatoly G. Meshkov, Maxim Ju. Balakhnev
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On the Anisotropic Landau–Lifshitz Equations
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qun Chen
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On the secular equation for anisotropic wave motions [PDF]
Quarterly of Applied Mathematics, 1973 In a previous paper [7] it was shown that for waves propagating in certain linear anisotropic mechanical systems there exist universal connections between the phase speeds of harmonic plane waves. Here the results are shown to hold in a wider context.
M. Hayes
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Nonlinear anisotropic parabolic equations in Lm
Arab Journal of Mathematical Sciences, 2014 In this paper, we give a result of regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with lower-order term when the right-hand side is an Lm function, with m being ”small”.
Fares Mokhtari
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Local Regularity Results for Minima of Anisotropic Functionals and Solutions of Anisotropic Equations [PDF]
Journal of Inequalities and Applications, 2008 This paper gives some local regularity results for minima of anisotropic functionals I(u;Ω)=∫Ωf(x,u,Du)dx, u∈Wloc1,qi(Ω) and for solutions of anisotropic equations −divðÂÂ’Âœ(x,u,Du)=-∑i=1N(∂f/∂
Chu Yuming +3 more
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Anisotropic tempered diffusion equations [PDF]
Nonlinear Analysis, 2020 We introduce a functional framework which is specially suited to formulate several classes of anisotropic evolution equations of tempered diffusion type. Under an amenable set of hypothesis involving a very natural potential function, these models can be shown to belong to the entropy solution framework devised by 4, 5, therefore ensuring well ...
Calvo, J., Marigonda, A., Orlandi, G.
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Anisotropic fast diffusion equations
Nonlinear Analysis, 2023 62 pages. Typos corrected, references added, text provided with very detailed proofs.
Feo F., Vázquez J. L., Volzone B.
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On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is ...
Omar Benslimane +2 more
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Capillary Schwarz symmetrization in the half-space
Advanced Nonlinear Studies, 2023 In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space.
Lu Zheng, Xia Chao, Zhang Xuwen
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Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023 This study is devoted to reaction–diffusion equations with spatially anisotropic time delay. Reaction–diffusion PDEs with either constant or variable transfer coefficients are considered.
Andrei D. Polyanin, Vsevolod G. Sorokin
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