On the equations $u_t + \nabla \cdot F\left ( u \right ) + 0$ and $u_t + \nabla \cdot F\left ( u \right ) = \nu \Delta u^1$
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- by Daniel B. Kotlow PDF
- Bull. Amer. Math. Soc. 75 (1969), 1362-1364
References
- 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 192161, DOI 10.1002/cpa.3160190107
- 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
- A. I. Vol′pert, Spaces $\textrm {BV}$ and quasilinear equations, Mat. Sb. (N.S.) 73 (115) (1967), 255–302 (Russian). MR 0216338
Additional Information
- Journal: Bull. Amer. Math. Soc. 75 (1969), 1362-1364
- DOI: https://doi.org/10.1090/S0002-9904-1969-12423-7
- MathSciNet review: 0251377