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Bulletin of the American Mathematical Society

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On the equations $u_t + \nabla \cdot F\left( u \right) + 0$ and $u_t + \nabla \cdot F\left( u \right) = \nu \Delta u^1$


Author: Daniel B. Kotlow
Journal: Bull. Amer. Math. Soc. 75 (1969), 1362-1364
MathSciNet review: 0251377
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References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Edward Conway and Joel Smoller, Clobal solutions of the Cauchy problem for quasi-linear first-order equations in several space variables, Comm. Pure Appl. Math. 19 (1966), 95–105. MR 0192161
  • 2. O. A. Oleĭnik, Discontinuous solutions of non-linear differential equations, Uspehi Mat. Nauk (N.S.) 12 (1957), no. 3(75), 3–73 (Russian). MR 0094541
  • 3. A. I. Vol′pert, Spaces 𝐵𝑉 and quasilinear equations, Mat. Sb. (N.S.) 73 (115) (1967), 255–302 (Russian). MR 0216338


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1969-12423-7