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Robert Sauer's Anfangswertprobleme bei Partiellen Differentialgleichungen PDF

By Robert Sauer

ISBN-10: 3540022767

ISBN-13: 9783540022763

ISBN-10: 3642855970

ISBN-13: 9783642855979

Das vorliegende Buch handelt von partiellen Differentialgleichungen, d. h. von Differentialgleichungen mit zwei oder mehr als zwei unabhangi gen Veranderlichen. Urn eine bestimmte Losung einer partiellen Differen tialgleichung festzulegen, muB guy noch gewisse zusatzliche Daten vor schreiben. Je nach der paintings dieser zusatzlichen Daten spricht guy in gewissen Fallen von Anfangswertproblemen und in anderen Fallen von Randwertproblemen oder von Anfangs-Randwert-Problemen. Ein An fangswertproblem laBt sich z. B. fur die Wellengleichung I x x - I y y = zero stellen (vgl. 2); eine Losung I (x, y) dieser Gleichung liegt etwa in der oberen x, y-Halbebene eindeutig fest, wenn auf der x-Achse als Anfangskurve die Werte von lund der erst en partiellen Ableitung Iy (Anfangswerte) bekannt sind. Ein Randwertproblem kann z. B. fUr die Potentialgleichung Ixx + Ivy = zero gestellt werden (vgl. 1); hier liegt eine Losung I (x, y) etwa im Innern eines Kreises eindeutig fest, wenn guy die Werte von I auf dem Kreis (Randwerte) kennt. Als Bei spiel eines Anfangs-Randwert-Problems sei folgende Aufgabe genannt: Gesucht ist die Losung der Wellengleichung fUr einen in der oberen x, y-Halbebene gelegenen Halbstreifen, der von einer Strecke der x-Achse und zwei zur y-Achse parallelen Halbgeraden begrenzt wird; auf der Strecke der x-Achse sind die Werte von lund Iy (Anfangswerte) vorgegebi)ll, auf den beiden Halbgeraden die Werte von I allein (Rand werte). Anfangs-und Randwertprobleme konnen nicht nach Belieben gestellt werden, sondern fUr gewisse Differentialgleichungen sind nur Anfangswertprobleme, fUr andere nur Randwertprobleme "sachgemaB" .

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Download e-book for iPad: Differential Equations and Their Applications: An by Martin Braun

By Martin Braun

ISBN-10: 0387943307

ISBN-13: 9780387943305

ISBN-10: 1461243602

ISBN-13: 9781461243601

Utilized in undergraduate school rooms around the united states, this can be a in actual fact written, rigorous advent to differential equations and their purposes. absolutely comprehensible to scholars who've had 12 months of calculus, this booklet distinguishes itself from different differential equations texts via its attractive program of the subject material to fascinating eventualities. This fourth version comprises prior introductory fabric on bifurcation concept and provides a brand new bankruptcy on Sturm-Liouville boundary price difficulties. laptop courses in C, Pascal, and Fortran are offered during the textual content to teach readers how you can practice differential equations in the direction of quantitative difficulties.

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Download PDF by Dorina Mitrea, Marius Mitrea: Perspectives in partial differential equations, harmonic

By Dorina Mitrea, Marius Mitrea

ISBN-10: 0821844245

ISBN-13: 9780821844243

V. G. Mazya is generally considered as a very remarkable mathematician, whose paintings spans 50 years and covers many parts of mathematical research. This quantity features a special choice of papers contributed at the get together of Mazya's seventieth birthday by means of a individual crew of specialists of foreign stature within the fields of Harmonic research, Partial Differential Equations, functionality concept, Spectral research, and historical past of arithmetic, reflecting the cutting-edge in those parts, within which Mazya himself has made a few of his most important contributions.

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New PDF release: Time Frequency and Time-Scale Methodes

By Ros Jay

ISBN-10: 1841122548

ISBN-13: 9781841122540

The objective of the ebook is to improve a deeper figuring out of the jobs of time-frequency or Fourier and Gabor research, and time-scale or wavelet research, whilst many of the instruments are safely assembled in a bigger context. whereas researchers on the vanguard of advancements in time-frequency scale (TFS) research are good conscious of the advantages of this kind of unified procedure, there is still a niche within the higher neighborhood of practitioners touching on exactly the strengths and boundaries of Gabor research as opposed to wavelets. The ebook fills this hole by way of featuring the interface among time-frequency and time-scale equipment as a wealthy quarter of labor.

Topics and features:

• Addresses new TFS tools and algorithms

• Presents an built-in method of utilizing Fourier/Gabor tools and wavelet equipment

• Real global purposes of Gabor concept, wavelets to PDEs and wavelets to compression

• Develops the information of part area and the uncertainty precept concentrating on the function of the metaplectic workforce and the flexibleness in developing research instruments

• Explanations on the finish of every bankruptcy handle ancient context, significant advancements and new instructions.

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Basic Posets - download pdf or read online

By Sik Kim Hee, Joseph Neggers

ISBN-10: 9810235895

ISBN-13: 9789810235895

An creation to the idea of partially-ordered units, or "posets". The textual content is gifted in fairly a casual demeanour, with examples and computations, which depend upon the Hasse diagram to construct graphical instinct for the constitution of endless posets. The proofs of a small variety of theorems is integrated within the appendix. vital examples, in particular the Letter N poset, which performs a task reminiscent of that of the Petersen graph in offering a candidate counterexample to many propositions, are used time and again in the course of the textual content.

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Download e-book for iPad: Time-frequency and time-scale methods: adaptive by Jeffrey A. Hogan

By Jeffrey A. Hogan

ISBN-10: 0817642765

ISBN-13: 9780817642761

The aim of the e-book is to boost a deeper realizing of the jobs of time-frequency or Fourier and Gabor research, and time-scale or wavelet research, whilst a number of the instruments are correctly assembled in a bigger context. whereas researchers on the leading edge of advancements in time-frequency scale (TFS) research are good conscious of the advantages of the sort of unified procedure, there continues to be a spot within the higher neighborhood of practitioners bearing on exactly the strengths and obstacles of Gabor research as opposed to wavelets. The publication fills this hole via offering the interface among time-frequency and time-scale equipment as a wealthy region of labor.

Topics and features:

• Addresses new TFS tools and algorithms

• Presents an built-in method of utilizing Fourier/Gabor tools and wavelet equipment

• Real international purposes of Gabor thought, wavelets to PDEs and wavelets to compression

• Develops the information of section area and the uncertainty precept concentrating on the position of the metaplectic workforce and the pliability in developing research instruments

• Explanations on the finish of every bankruptcy tackle historic context, significant advancements and new instructions.

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Nonlinear wave equations - download pdf or read online

By Satyanad Kichenassamy

ISBN-10: 0824793285

ISBN-13: 9780824793289

This updated reference textual content examines the mathematical elements of nonlinear wave propagation;emphasizing nonlinear hyperbolic problems;and introduces the best instruments for the learn of perturbation equipment and for exploring international life, singularity formation, and large-time habit of ideas.

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Download PDF by Stefan Liebscher: Bifurcation without Parameters

By Stefan Liebscher

ISBN-10: 3319107763

ISBN-13: 9783319107769

ISBN-10: 3319107771

ISBN-13: 9783319107776

Targeted at mathematicians having at the least a easy familiarity with classical bifurcation conception, this monograph offers a scientific class and research of bifurcations with no parameters in dynamical platforms. even if the tools and ideas are in brief brought, a previous wisdom of center-manifold rate reductions and normal-form calculations might help the reader to understand the presentation. Bifurcations with no parameters take place alongside manifolds of equilibria, at issues the place general hyperbolicity of the manifold is violated. the overall concept, illustrated by means of many purposes, goals at a geometrical knowing of the neighborhood dynamics close to the bifurcation points.

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Download e-book for iPad: Stochastic Partial Differential Equations by Alison Etheridge (editor)

By Alison Etheridge (editor)

ISBN-10: 0521483190

ISBN-13: 9780521483193

Stochastic partial differential equations can be utilized in lots of parts of technological know-how to version advanced structures evolving through the years. This publication assembles jointly a few of the world's top recognized specialists on stochastic partial differential equations. matters comprise the stochastic Navier-Stokes equation, serious branching structures, inhabitants versions, statistical dynamics, and ergodic houses of Markov semigroups. For all staff on stochastic partial differential equations, this e-book may have a lot to supply.

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Continue reading Download e-book for iPad: Stochastic Partial Differential Equations by Alison Etheridge (editor)