Scalar Conservation Laws
In this chapter we consider the Cauchy problem for a scalar conservation law. Our goal is to show that, subject to certain conditions, there exists a unique solution to the general initial value problem. Our method will be completely constructive, and we
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Applied Mathematical Sciences 1. John: Partial Differential Equations, 4th ed. 2. Sirovich: Techniques of Asymptotic Analysis 3. Hale: Theory of Functional Differential Equations, 2nd ed.
32. Meis/Markowitz: Numerical Solution of Partial Differential Equations 33. Grenander: Regular Structures: Lectures in Pattern Theory, Vol. III
4. Percus: Combinatorial Methods
34. Kevorkian/Cole: Perturbation Methods in Applied Mathematics
5. von Mises/Friedrichs: Fluid Dynamics
35. Carr: Applications of Centre Manifold Theory
6. Freiberger/Grenander: A Short Course in Computational Probability and Statistics.
36. Bengtsson/Ghil/Källén: Dynamic Meteorology: Data Assimilation Methods
7. Pipkin: Lectures on Viscoelasticity Theory
37. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces
8. Giacaglia: Perturbation Methods in Non-linear Systems 9. Friedrichs: Spectral Theory of Operators in Hilbert Space 10. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations 11. Wolovich: Linear Multivariable Systems 12. Berkovitz: Optimal Control Theory 13. Bluman/Cole: Similarity Methods for Differential Equations 14. Yoshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions
38. Lichtenberg/Lieberman: Regular and Chaotic Dynamics, 2nd ed. 39. Piccini/Stampacchia/Vidossich: Ordinary Differential Equations in Rn 40. Naylor/Sell: Linear Operator Theory in Engineering and Science 41. Sparrow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors 42. Guckenheimer/Holmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 43. Ockendon/Taylor: Inviscid Fluid Flows
15. Braun: Differential Equations and Their Applications, 4th ed.
44. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations
16. Lefschetz: Applications of Algebraic Topology
45. Glashoff/Gustafson: Linear Operations and Approximation: An Introduction to the Theoretical Analysis and Numerical Treatment of Semi-Infinite Programs
17. Collatz/Wetterling: Optimization Problems 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory, Vol. I
46. Wilcox: Scattering Theory for Diffraction Gratings
19. Marsden/McCracken: Hopf Bifurcation and Its Applications
47. Hale et al.: Dynamics in Infinite Dimensions, 2nd ed.
20. Driver: Ordinary and Delay Differential Equations
48. Murray: Asymptotic Analysis
21. Courant/Friedrichs: Supersonic Flow and Shock Waves
49. Ladyzhenskaya: The Boundary-Value Problems of Mathematical Physics
22. Rouche/Habets/Laloy: Stability Theory by Liapunov’s Direct Method 23. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory 24. Grenander: Pattern Analysis: Lectures in Pattern Theory, Vol. II 25. Davies: Integral Transforms and Their Applications, 3rd ed.
50. Wilcox: Sound Propagation in Stratified Fluids 51. Golubitsky/Schaeffer: Bifurcation and Groups in Bifurcation Theory, Vol. I 52. Chipot: Variational Inequalities and Flow in Porous Media 53. Majda: Compressible Fluid Flow and System of Co
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