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1. The Callias Index Formula Revisited
by Fritz Gesztesy, Marcus Waurick
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2157
オンライン: http://dx.doi.org/10.1007/978-3-319-29977-8
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Introduction.-Notational Conventions
Functional Analytic
On Schatten–von Neumann Classes and Trace Class
Pointwise Estimates for Integral Kernels
Dirac-Type
Derivation of the Trace Formula – The Trace Class Result
Derivation of the Trace Formula – Diagonal Estimates
The Case n = 3
The Index Theorem and Some Consequences
Perturbation Theory for the Helmholtz Equation
The Proof of Theorem 10.2: The Smooth Case
The Proof of Theorem 10.2: The General Case
A Particular Class of Non-Fredholm Operators L and Their Generalized Witten Index
A: Construction of the Euclidean Dirac Algebra
B: A Counterexample to [22, Lemma 5]
References
Index
Introduction.-Notational Conventions
Functional Analytic
On Schatten–von Neumann Classes and Trace Class
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2. Nonlinear Water Waves : Cetraro, Italy 2013
by Adrian Constantin, Joachim Escher, Robin Stanley Johnson, Gabriele Villari ; edited by Adrian Constantin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2158
オンライン: http://dx.doi.org/10.1007/978-3-319-31462-4
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Adrian Constantin: Exact travelling periodic water waves in two-dimensional irrotational flows
Joachim Escher: Breaking Water Waves
Robin Stanley Johnson: Asymptotic methods for weakly nonlinear and other water waves
Gabriele Villari: A survival kit in phase plane analysis: some basic models and problems
Adrian Constantin: Exact travelling periodic water waves in two-dimensional irrotational flows
Joachim Escher: Breaking Water Waves
Robin Stanley Johnson: Asymptotic methods for weakly nonlinear and other water waves
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3. Stochastic Porous Media Equations
by Viorel Barbu, Giuseppe Da Prato, Michael Röckner
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2163
オンライン: http://dx.doi.org/10.1007/978-3-319-41069-2
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Foreword
Preface
Introduction
Equations with Lipschitz nonlinearities
Equations with maximal monotone nonlinearities
Variational approach to stochastic porous media equations
L1-based approach to existence theory for stochastic porous media equations
The stochastic porous media equations in Rd
Transition semigroups and ergodicity of invariant measures
Kolmogorov equations
A Two analytical inequalities
Bibliography
Glossary
Translator’s note
Index
Foreword
Preface
Introduction
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4. Ricci Flow and Geometric Applications : Cetraro, Italy 2010
by Michel Boileau, Gerard Besson, Carlo Sinestrari, Gang Tian ; edited by Riccardo Benedetti, Carlo Mantegazza
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2166
オンライン: http://dx.doi.org/10.1007/978-3-319-42351-7
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Preface
The Differentiable Sphere Theorem (after S. Brendle and R. Schoen)
Thick/Thin Decomposition of three–manifolds and the Geometrisation Conjecture
Singularities of three–dimensional Ricci flows
Notes on K¨ahler-Ricci flow
Preface
The Differentiable Sphere Theorem (after S. Brendle and R. Schoen)
Thick/Thin Decomposition of three–manifolds and the Geometrisation Conjecture
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5. Conformal Symmetry Breaking Operators for Differential Forms on Spheres
by Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2170
オンライン: http://dx.doi.org/10.1007/978-981-10-2657-7
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6. Bifurcation without Parameters
by Stefan Liebscher
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2117
オンライン: http://dx.doi.org/10.1007/978-3-319-10777-6
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Introduction
Methods & Concepts
Cosymmetries
Codimension One
Transcritical Bifurcation
Poincar´e-Andronov-Hopf Bifurcation
Application: Decoupling in Networks
Application: Oscillatory Profiles
Codimension Two
egenerate Transcritical Bifurcation
egenerate Andronov-Hopf Bifurcation
Bogdanov-Takens Bifurcation
Zero-Hopf Bifurcation
Double-Hopf Bifurcation
Application: Cosmological Models
Application: Planar Fluid Flow
Beyond Codimension Two
Codimension-One Manifolds of Equilibria
Summary & Outlook
Introduction
Methods & Concepts
Cosymmetries
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7. Stabilization of Elastic Systems by Collocated Feedback
by Kaïs Ammari, Serge Nicaise
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2124
オンライン: http://dx.doi.org/10.1007/978-3-319-10900-8
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Some backgrounds
Stabilization of second order evolution equations by a class of unbounded feedbacks
Stabilization of second order evolution equations with unbounded feedback with delay
Asymptotic behaviour of concrete dissipative systems
Systems with delay
Bibliography
Some backgrounds
Stabilization of second order evolution equations by a class of unbounded feedbacks
Stabilization of second order evolution equations with unbounded feedback with delay
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8. Evolutionary Equations with Applications in Natural Sciences
edited by Jacek Banasiak, Mustapha Mokhtar-Kharroubi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2126
オンライン: http://dx.doi.org/10.1007/978-3-319-11322-7
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Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
Ryszard Rudnicki: Stochastic operators and semigroups and their applications in physics and biology
Mustapha Mokhtar-Kharroubi: Spectral theory for neutron transport.-Anna Marciniak-Czochra: Reaction-diffusion-ODE models of pattern formation
Mapundi Kondwani Banda: Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications
Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
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9. Mathematical Models of Viscous Friction
by Paolo Buttà, Guido Cavallaro, Carlo Marchioro
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2135
オンライン: http://dx.doi.org/10.1007/978-3-319-14759-8
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1.  Introduction
2. Gas of point particles
3. Vlasov approximation
4. Motion of a body immersed in a Vlasov system
5. Motion of a body immersed in a Stokes fluid
A Infinite Dynamics
1.  Introduction
2. Gas of point particles
3. Vlasov approximation
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10. Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces : A Sharp Theory
by Ryan Alvarado, Marius Mitrea
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2142
オンライン: http://dx.doi.org/10.1007/978-3-319-18132-5
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Introduction. - Geometry of Quasi-Metric Spaces
Analysis on Spaces of Homogeneous Type
Maximal Theory of Hardy Spaces
Atomic Theory of Hardy Spaces
Molecular and Ionic Theory of Hardy Spaces
Further Results
Boundedness of Linear Operators Defined on Hp(X)
Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces
Introduction. - Geometry of Quasi-Metric Spaces
Analysis on Spaces of Homogeneous Type
Maximal Theory of Hardy Spaces