Uniqueness and stability of solutions for Cauchy problem of nonlinear diffusion equations |
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Authors: | Junning Zhao Peidong Lei |
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Institution: | 1. Department of Mathematics, Jilin University, 130023, Changchun, China
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Abstract: | The uniqueness of solutions for Cauchy problem of the form $$\frac{{\partial u}}{{\partial t}} = \Delta A(u) + \sum\limits_{i = 1}^N {\frac{{\partial b^i (u)}}{{\partial x_i }} + c(u)} $$ is studied. It is proved that ifu ∈BVx and A(u) is strictly increasing, the solution is unique. |
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