Emerging Topics on Differential Equations and Their Applications : Proceedings on SinoJapan Conference of Young Mathematicians, (electronic resource)
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Emerging Topics on Differential Equations and Their Applications : Proceedings on SinoJapan Conference of Young Mathematicians, (electronic resource)
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The instance Emerging Topics on Differential Equations and Their Applications : Proceedings on SinoJapan Conference of Young Mathematicians, (electronic resource) represents a material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Instance, Electronic.
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 Emerging Topics on Differential Equations and Their Applications : Proceedings on SinoJapan Conference of Young Mathematicians, (electronic resource)
 Title remainder
 Proceedings on SinoJapan Conference of Young Mathematicians
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 electronic resource
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 Preface; CONTENTS; A Spectral Theory of Linear Operators on Rigged Hilbert Spaces under Certain Analyticity Conditions H. Chiba; 1. Introduction; 2. A review of the spectral theory on rigged Hilbert spaces; References; Conditional Fredholm Determinant and Trace Formula for Hamiltonian Systems: a Survey X.J. Hu and P.H. Wang; 1. Introduction; 2. Hill Formula for Speriodic Hamiltonian systems; 2.1. Trace finite condition and conditional Fredholm determinant; 2.2. Hill formula and its application; 3. Trace formula in Hamiltonian systems; Acknowledgement; References
 Initial Value Problem for Water Waves and Shallow Water and Long Wave Approximations T. Iguchi1. Introduction; 2. Initial Value Problem; 3. Shallow Water Approximations; 3.1. Shallow water equations; 3.2. Tsunami generation; 3.3. GreenNaghdi equations; 4. Long Wave Approximations; 4.1. KdV equation; 4.2. Kawahara equation; 4.3. Forced KdV equation; 4.4. BenjaminOno equation; References; On the Existence and Nonexistence of Maximizers Associated with TrudingerMoser Type Inequalities in Unbounded Domains M. Ishiwata; 1. Introduction and main results; 2. Proof of Theorem 1.1
 3. Proof of Theorem 1.24. Proof of Theorem 1.3; References; Computerassisted Uniqueness Proof for Stokes' Wave of Extreme Form K. Kobayashi; 1. Introduction; 2. The idea behind the proof of uniqueness; 3. Numerical results; 4. Conclusion; Funding; Acknowledgements; References; From the Boltzmann Htheorem to Perelman's Wentropy formula for the Ricci flow X.D. Li; 1. Introduction; 2. History and Boltzmann entropy formula; 2.1. Thermodynamic entropy; 2.2. Boltzmann equation and Htheorem; 2.3. Boltzmann entropy formula; 2.4. Shannon and Nash entropy
 2.5. The maximum entropy principle and the central limit theorem2.6. Canonical ensemble and Boltzmann's entropy formula; 3. Perelman's interpretation of the Wentropy for Ricci flow; 4. A probabilistic interpretation of the Wentropy for Ricci flow; 5. Comparison between Boltzmann's Htheorem and Perelman's entropy formula; 6. An open problem: the "density of states" measure for the Ricci flow; Acknowledgement; References; The Spreading of a New Species with Free Boundaries X. Liu and B. Lou; 1. Introduction; 2. Convergence Results; 2.1. Dichotomy and trichotomy; 2.2. Key lemmas of the proof
 3. Asymptotic spreading speedReferences; Recent Progress on Observability for Stochastic Partial Differential Equations Q. Lu and Z.Q. Yin; 1. Introduction; 2. Observability estimate for stochastic parabolic equation; 3. Observability estimate for stochastic hyperbolic equations; 4. Observability estimate for stochastic Schrodinger equations; 5. Some open problems; Acknowledgement; References; The Nonlinear "Hot Spots" Conjecture in Balls of S2 and H2 Y. Miyamoto; 1. Introduction and Main results; 2. Preliminaries; 3. Proofs; 3.1. Proofs of Theorems 1.1 (i) and 1.2 (i)
 3.2. Proofs of Theorems 1.1 (ii) and 1.2 (ii)
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 unknown
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 1 online resource (319 p.)
 Form of item
 electronic
 Isbn
 9789814449748
 Record ID
 99148828046601651
 Specific material designation
 remote
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 (CKB)2550000001019263
 (EBL)1168191
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