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Titlebook: Nonlinear Parabolic and Elliptic Equations; C. V. Pao Book 1992 Springer Science+Business Media New York 1992 DEX.Fusion.behavior.calculus

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书目名称Nonlinear Parabolic and Elliptic Equations
编辑C. V. Pao
视频video
图书封面Titlebook: Nonlinear Parabolic and Elliptic Equations;  C. V. Pao Book 1992 Springer Science+Business Media New York 1992 DEX.Fusion.behavior.calculus
描述In response to the growing use of reaction diffusion problemsin many fields, this monograph gives a systematic treatment of a classofnonlinear parabolic and elliptic differential equations and theirapplications these problems. It is an important reference formathematicians and engineers, as well as a practical text forgraduate students.
出版日期Book 1992
关键词DEX; Fusion; behavior; calculus; class; differential equation; equation; model; online; stability
版次1
doihttps://doi.org/10.1007/978-1-4615-3034-3
isbn_softcover978-1-4613-6323-1
isbn_ebook978-1-4615-3034-3
copyrightSpringer Science+Business Media New York 1992
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Elliptic Boundary-Value Problems,tegroelliptic boundary-value problems is included in the discussion. The results for elliptic boundary-value problems are applied to a number of specific models as applications of the theory, including a discussion of the existence of multiple positive solutions.
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Equations with Nonlinear Boundary Conditions,on for elliptic boundary-value problems there is an analogous discussion on the spectrum problem where the parameter . appears in both the internal and the boundary functions. Results are applied to three specific models in heat-conduction, biochemical reaction, and gas-liquid interaction problems.
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Parabolic Boundary-Value Problems, to a unique solution of an integral equation. This chapter shows that the limit of the monotone sequence is indeed the solution of the parabolic problem for each of the three basic boundary conditions. This regularity result is given in the framework of a more general parabolic boundary-value probl
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Elliptic Boundary-Value Problems,ication that the limits of the monotone sequences are classical solutions. Various sufficient conditions are given in later sections to ensure the uniqueness and the multiplicity of positive solutions. When the reaction function involves a parameter the spectrum of positive solutions and the depende
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