| 000 -LEADER |
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| fixed length control field |
nam a22 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240219b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781482238983 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Item number |
LOP |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lopez Gomez, Julian |
| 245 ## - TITLE STATEMENT |
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| Title |
Metasolutions of parabolic equations in population dynamics |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
CRC Press, |
| Place of publication, distribution, etc |
Boca Raton : |
| Date of publication, distribution, etc |
2016 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xviii, 357 p. ; |
| Other physical details |
ill. , |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
170.00 |
| Price type code |
£ |
| Unit of pricing |
110.20 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Analyze Global Nonlinear Problems Using Metasolutions Metasolutions of Parabolic Equations in Population Dynamics explores the dynamics of a generalized prototype of semilinear parabolic logistic problem. Highlighting the author's advanced work in the field, it covers the latest developments in the theory of nonlinear parabolic problems. The book reveals how to mathematically determine if a species maintains, dwindles, or increases under certain circumstances. It explains how to predict the time evolution of species inhabiting regions governed by either logistic growth or exponential growth. The book studies the possibility that the species grows according to the Malthus law while it simultaneously inherits a limited growth in other regions. The first part of the book introduces large solutions and metasolutions in the context of population dynamics. In a self-contained way, the second part analyzes a series of very sharp optimal uniqueness results found by the author and his colleagues. The last part reinforces the evidence that metasolutions are also categorical imperatives to describe the dynamics of huge classes of spatially heterogeneous semilinear parabolic problems. Each chapter presents the mathematical formulation of the problem, the most important mathematical results available, and proofs of theorems where relevant. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential equations |
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| Topical term or geographic name as entry element |
Parabolic |
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| Topical term or geographic name as entry element |
Asymptotically stable |
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| Topical term or geographic name as entry element |
Bifurcation diagram |
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| Topical term or geographic name as entry element |
Boundary value problem |
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| Topical term or geographic name as entry element |
Compact subsets |
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| Topical term or geographic name as entry element |
Dirichlet boundary conditions |
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| Topical term or geographic name as entry element |
Global bifurcation |
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| Topical term or geographic name as entry element |
Harnack inequality |
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| Topical term or geographic name as entry element |
Logistic equation |
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| Topical term or geographic name as entry element |
Maximum principle |
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| Topical term or geographic name as entry element |
Unique positive solution |
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| Topical term or geographic name as entry element |
Unstable manifolds |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |