Abstract
A local unique solvability is established for viscous conservation laws when the initial data may grow to infinity with a natural order. It is also shown that such a classical solution can be extended to a global-in-time solution provided that the growth order of the initial data is less than the critical order.
Citation
Kazuyuki Yamada. "On viscous conservation laws with growing initial data." Differential Integral Equations 18 (8) 841 - 854, 2005. https://doi.org/10.57262/die/1356060148
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