Results 1 to 10 of about 243,543 (330)
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 ...
Juan Calvo +2 more
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Integrable Anisotropic Evolution Equations on a Sphere
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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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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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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Viscoacoustic anisotropic wave equations [PDF]
SEG Technical Program Expanded Abstracts 2019, 2019 The wave equation plays a central role in seismic modeling, processing, imaging and inversion. Incorporating attenuation anisotropy into the acoustic anisotropic wave equations provides a choice for acoustic forward and inverse modeling in attenuating anisotropic media.
Qi Hao, Tariq Alkhalifah
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper we are going to investigate a free boundary value problem for the anisotropic N-Laplace operator on a ring domain Ω:=Ω0\Ω¯1⊂N\Omega : = {\Omega _0}\backslash {\bar \Omega _1} \subset {\mathbb{R}^N}, N ≥ 2.
Nicolescu A. E., Vlase S.
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Anisotropic parabolic equations with variable nonlinearity [PDF]
Publicacions Matemàtiques, 2009 We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak ...
Antontsev, S., Shmarev, S.
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