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Titlebook: Nonlinear Diffusion Equations and Their Equilibrium States, 3; Proceedings from a C N. G. Lloyd,W. M. Ni,J. Serrin Conference proceedings 1

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书目名称Nonlinear Diffusion Equations and Their Equilibrium States, 3
副标题Proceedings from a C
编辑N. G. Lloyd,W. M. Ni,J. Serrin
视频videohttp://file.papertrans.cn/668/667397/667397.mp4
丛书名称Progress in Nonlinear Differential Equations and Their Applications
图书封面Titlebook: Nonlinear Diffusion Equations and Their Equilibrium States, 3; Proceedings from a C N. G. Lloyd,W. M. Ni,J. Serrin Conference proceedings 1
描述Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math­ ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter­ est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn­ damental questions concern the existence, uniqueness and regularity of so­ lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.
出版日期Conference proceedings 1992
关键词Area; Blowing up; Finite; behavior; boundary element method; design; differential equation; eXist; equation;
版次1
doihttps://doi.org/10.1007/978-1-4612-0393-3
isbn_softcover978-1-4612-6741-6
isbn_ebook978-1-4612-0393-3Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightSpringer Science+Business Media New York 1992
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An Existence Result Via ,, Regularity for Some Nonlinear Elliptic Equations,ual, ϕℝ → ℝ. is a continuous function satisfying |ϕ(.)| ≤ c.(1 + |.|.) and .(.) belongs to (..(Ω)).. When and 0 ≤ γ ≤ [q(p-1)]*, we prove the existence of a solution u which belongs to. This .. -regularity result (which implies that ϕ(.) belongs to L.(Ω)).) is an important step in the proof of the existence of a solution.
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Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/n/image/667397.jpg
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https://doi.org/10.1007/978-1-4612-0393-3Area; Blowing up; Finite; behavior; boundary element method; design; differential equation; eXist; equation;
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Nonlinear Parabolic Equations Arising in Semiconductor and Viscous Droplets Models,This paper is devoted to a class of higher order degenerate parabolic equations whose simplest example is the fourth order equation where . = ∂/∂., . = .(.,.) is a real-valued function and . is a real parameter, . > 0.
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