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180224s2018 riu o 000 0 eng d |
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|a EBLCP
|b eng
|e pn
|c EBLCP
|d OCLCO
|d IDB
|d OCLCQ
|d LOA
|d OCLCO
|d OCLCF
|d K6U
|d OCLCO
|d OCLCQ
|d OCLCO
|d OCLCL
|d SXB
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|a 9781470442002
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|a 1470442000
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|a (OCoLC)1024251200
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|a QA171.5
|b .H644 2017eb
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| 049 |
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|a HCDD
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|a Hoffman, Aaron.
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|a Entire Solutions for Bistable Lattice Differential Equations with Obstacles.
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|a Providence :
|b American Mathematical Society,
|c 2018.
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|a 1 online resource (132 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Memoirs of the American Mathematical Society ;
|v v. 250
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|a Print version record.
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|a Cover; Title page; Chapter 1. Introduction; Reaction-Diffusion Problems; Existence of Waves; Stability of Waves; The Program; Pre-interaction regime; Interaction regime; Post-interaction regime -- rest state; Post-interaction regime -- convergence to wave; Organization; Chapter 2. Main Results; 2.1. Homogeneous Lattice; 2.2. Obstructed Lattice; Chapter 3. Preliminaries; Chapter 4. Spreading Speed; Chapter 5. Large Disturbances; 5.1. Notation; 5.2. Preliminary Computations; 5.3. The Ansatz; 5.4. The expanding plateau; 5.5. The function; 5.6. Construction of sub-solution.
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|a Chapter 6. The Entire SolutionChapter 7. Various Limits; Chapter 8. Proof of Theorem 2.3; Chapter 9. Discussion; Acknowledgments; Bibliography; Back Cover.
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|a The authors consider scalar lattice differential equations posed on square lattices in two space dimensions. Under certain natural conditions they show that wave-like solutions exist when obstacles (characterized by "holes") are present in the lattice. Their work generalizes to the discrete spatial setting the results obtained in Berestycki, Hamel, and Matuno (2009) for the propagation of waves around obstacles in continuous spatial domains. The analysis hinges upon the development of sub and super-solutions for a class of discrete bistable reaction-diffusion problems and on a generalization o.
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| 650 |
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|a Lattice theory.
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| 650 |
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|a Differential equations.
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| 650 |
|
7 |
|a Differential equations
|2 fast
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| 650 |
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7 |
|a Lattice theory
|2 fast
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| 700 |
1 |
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|a Hupkes, Hermen.
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| 700 |
1 |
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|a Vleck, E. S. Van.
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| 758 |
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|i has work:
|a Entire solutions for bistable lattice differential equations with obstacles (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGcyKxvpkVmyckMRBJ3Hfq
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Hoffman, Aaron.
|t Entire Solutions for Bistable Lattice Differential Equations with Obstacles.
|d Providence : American Mathematical Society, ©2018
|z 9781470422011
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| 830 |
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0 |
|a Memoirs of the American Mathematical Society.
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| 856 |
4 |
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|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=5291687
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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