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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
Full-text PDF
References |
Additional Information
- 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
(33 #388)
- 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
(20 #1055)
- 3.
A.
I. Vol′pert, Spaces 𝐵𝑉 and quasilinear
equations, Mat. Sb. (N.S.) 73 (115) (1967),
255–302 (Russian). MR 0216338
(35 #7172)
- 1.
- E. Conway and J. Smoller, Global solutions of the Cauchy problem for quasilinear first order equations in several space variables, Comm. Pure Appl. Math. 19 (1966), 95-105. MR 192161
- 2.
- O. A. Oleinik, Discontinuous solutions of nonlinear equations, Uspehi Mat. Nauk 12 (1957), 3-73. MR 94541
- 3.
- A. I. Vol'pert, The space BV and quasilinear equations, Mat. Sb. 73 (1967), 255-302. MR 216338
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1969-12423-7
PII:
S 0002-9904(1969)12423-7
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