Mean Value Properties for the Wave Equation

Kapitel in diesem Buch

1. Frontmatter I
2. CONTENTS V
3. Preface XI
4. 65-th Anniversary of Prof. Drumi Bainov XIII
5. Construction of Systems of Partial Differential Equations and Their Solutions 1
6. Inverse Spectral Problem for the Differential Equation of the Second Order with Singularity 7
7. Inverse Problem for the Sturm-Liouville According to a Spectrum and Normalizing 15
8. On the Range and Inversion of Certain Unsymmetric Operators 23
9. Impulsive Hamilton-Jacobi Equations for Hybrid Control Systems 29
10. Numerical Solution of Multi-Time Dynamic Programming Equations 35
11. Overdetermined Differential Systems in Spaces of (Small) Gevrey Functions 39
12. Applications of Stochastic Differential Equations to Population Growth 47
13. Nonlocal Evolution Problems 53
14. Matrix Semigroups and Differential Equations: Ergodism and Asymptotic Behaviour of Solutions with or without Impulses, a Survey (2) 61
15. Schwarz Algorithms for Nonconforming and Mixed Methods for Second-Order Problems 77
16. Local Mesh Refinement for Degenerate Two-Phase Incompressible Flow Problems 85
17. The Existence of Infinitely Many Solutions of a Nonlinear Wave Equation 91
18. The Approximation of Continuous Periodic Functions by Means of Extrapolation Techniques for the De La Valle'e Poussin Operator 99
19. Variational Inequalities, Equivalent Optimization Problems and Associated Lagrangean Function 107
20. Studying the Numerical Properties of Solvers for Systems of Nonlinear Equations 113
21. Superlinear Convergence of Asynchronous Waveform Relaxation Methods for Nonlinear ODEs 119
22. A Discretization Scheme and Error Estimate for First-Order Systems and Elliptic Problems 127
23. Stability Estimates for a Boundary Identification Problem in a Thin Domain 133
24. Partial Hölder Continuity Results for Solution of non Linear non Variational Elliptic Systems with Limit Controlled Growth 139
25. Applications of the Lyapunov Direct Method for Stability Investigations of Some Functional Differential Equations 145
26. On Global Weak Solutions of a Nonlinear Evolution Equation in Noncylindrical Domain J. Ferreira and M.A. Rojas-Medar 155
27. Lifting Theory and its Application to Quantum Amplifier Processes 163
28. Tangential Oblique Derivative Problem for Nonlinear Elliptic Discontinuous Operators in the Plane 169
29. Life Span of Solutions for Non Linear Cauchy Problem 177
30. Approximation of the McKendrick-Von Foester Equation for Population Growth 185
31. Global Asymptotic Stability of FitzHugh-Nagumo System 191
32. Oscillation Results for Semilinear Elliptic Equations 197
33. A Simple Model of the Ocean with Eastern Boundary Slope Current 205
34. New Algorithm of Curve Fitting for Non Decreasing Time Series Data 213
35. The Asymptotic Distribution for the Eigenfunctions of the Sturm-Liouville Equation 221
36. Existence of Group Invariant Solutions of a Certain Semilinear Elliptic Equation 229
37. Structured Programming Diagram PAD, PDE Solver, and Formation of Planetary System 235
38. Coefficients of an Asymptotic Expansion of logDet for Elliptic Operators with Parameter 241
39. Accurate Splatting of Octrees 245
40. Singular Linear ODEs 251
41. Fine Regularity for Nonlinear Nonvariational Parabolic Systems Overlapping Multi-Subdomain Asynchronous Fixed Point Methods for Elliptic Boundary Value Problems 257
42. Overlapping Multi-Subdomain Asynchronous Fixed Point Methods for Elliptic Boundary Value Problems 261
43. Two-Step Variable Metric Conjugate Gradient Algorithms 273
44. Nonsmooth Variational Methods and Applications to Discontinuous Boundary Value Problems 281
45. Mean Value Properties for the Wave Equation 289
46. A Note on the Solutions of r"(x)r(x) = g(x)r'²(x) 293
47. Properties of General Elementary Matrices in Mathematical Science 299
48. Oblique Derivative Problem in Morrey Spaces 307
49. Applying Probabilistic Neural Networks to the Multifont Recognition Problem 311
50. A Nested then Coupled Mediterranean Sea Layer-Level Model 319
51. One Phenomenon for the Wave Equation in R ³ 325
52. Blow Up of the Solutions for Quasilinear Hyperbolic Systems and Application to the Nonlinear Vibrating String Equation 331
53. Regularity of the First Derivatives of the Solutions of a Class of Linear Elliptic Equations of Second Order with Discontinuous Coefficients 337
54. Fractal Geometry for Natural-Looking Tree Generation 343
55. Exact Solutions of the Navier-Stokes Equations 353
56. Remarks on the N-Body Problem in Celestial Mechanics 361
57. Toeplitz-Theorem for Set-Valued Sequences in Banach-Spaces 369
58. Mixed Problem for a Damped Quasilinear Wave Equation 373
59. Stability of Integral Manifolds of Neutral Functional Differential Equations 379
60. Numerical Accuracy of Dynamical System Integration 385
61. Approximations of a General Class of Quantum-Mechanical One-Dimensional Point Interactions by Local Self-Adjoint Interactions 393
62. An Exponentially-Fitted Finite Difference Method for the Numerical Solution of Differential Equations with Engineering Applications 401
63. L ^∞ -Estimates for Strong Solutions to Quasilinear Elliptic Equations 407
64. On Convolutional Decompositions of the Generalized Inverse Gaussian Distributions and the Student t-Distributions 411
65. The Complete Ducks Not Satisfying S ¹ 417
66. Oscillation Criteria for Linear Differential Equations 423
67. Connection Between Differential Equations and Differential Geometry 427
68. Errors in Iteration Points in Oscillatory State for Systems of Algebraic Equations 431
69. Equicontinuity Domains and Runge Domains 439
70. Riemann Conditions for Quasi-Abelian Varieties 443
71. An Approximation of the Functional of a Free Boundary Problem 451
72. A Mathematical Expression of Vertical Distribution of Annual Ring Widths of Trees Based on Height Growth and Inflow of Solute Carbohydrate from Roots 459