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Titlebook: Linear and Quasilinear Parabolic Problems; Volume I: Abstract L Herbert Amann Book 1995 Birkhäuser Verlag Basel 1995 Boundary value problem

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书目名称Linear and Quasilinear Parabolic Problems
副标题Volume I: Abstract L
编辑Herbert Amann
视频video
丛书名称Monographs in Mathematics
图书封面Titlebook: Linear and Quasilinear Parabolic Problems; Volume I: Abstract L Herbert Amann Book 1995 Birkhäuser Verlag Basel 1995 Boundary value problem
描述In this treatise we present the semigroup approach to quasilinear evolution equa­ of parabolic type that has been developed over the last ten years, approxi­ tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of partial differential equations occurring in science, some of those being of rather ‘nonstandard‘ type. In partic­ ular, to date it is the only general method that applies to noncoercive systems. Although we are interested in nonlinear problems, our method is based on the theory of linear holomorphic semigroups. This distinguishes it from the theory of nonlinear contraction semigroups whose basis is a nonlinear version of the Hille­ Yosida theorem: the Crandall-Liggett theorem. The latter theory is well-known and well-documented in the literature. Even though it is a powerful technique having found many applications, it is limited in its scope by the fact that, in concrete applications, it is closely tied to the maximum principle. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle. For these reasons w
出版日期Book 1995
关键词Boundary value problem; Distribution; Fourier transform; Functional Analysis; PDE; Sobolev space; Systems
版次1
doihttps://doi.org/10.1007/978-3-0348-9221-6
isbn_softcover978-3-0348-9950-5
isbn_ebook978-3-0348-9221-6Series ISSN 1017-0480 Series E-ISSN 2296-4886
issn_series 1017-0480
copyrightBirkhäuser Verlag Basel 1995
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发表于 2025-3-21 21:43:00 | 显示全部楼层
Generators and Interpolation,olation functors’ that, on the one hand, is flexible enough to build an easy and general abstract theory of evolution equations on it, and, on the other hand, is general enough to cover all applications occurring in practice.
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Book 1995pproxi­ tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of partial differential equations occurring in science, some of those being of rather ‘nonstandard‘ type. In partic­ ular, to date it is the only genera
发表于 2025-3-22 11:18:23 | 显示全部楼层
Notation and Conventions,cts from linear functional analysis in order to fix the notations. We refer to the literature (in particular, to [Ber74], [DuS57], [Edw65]. [Golb66], [HiP57], [Hor66], [Jar81], [Sch71], [Tre67], and [Yos65] for proofs and many more details.
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Book 1995found many applications, it is limited in its scope by the fact that, in concrete applications, it is closely tied to the maximum principle. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle. For these reasons w
发表于 2025-3-22 22:27:59 | 显示全部楼层
1017-0480 Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle. For these reasons w978-3-0348-9950-5978-3-0348-9221-6Series ISSN 1017-0480 Series E-ISSN 2296-4886
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Herbert Amann33 / Noise Removal / Music Equalizer / Telephone / Digital Audio Effects: Echo and Reverb / Music Composer / Introduction to Robotics / AM Radio / Modem / Digital Image Processing Fundamentals / Applications using USB Camera / Appendix: VIs at a Glance978-3-031-79314-1978-3-031-79315-8Series ISSN 2690-0300 Series E-ISSN 2690-0327
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