论文标题
在非线性各向异性抛物线方程的熵溶液的某些特性上
On some properties of entropy solutions of degenerate non-linear anisotropic parabolic equations
论文作者
论文摘要
我们证明了非线性退化各向异性抛物线方程最大和最小的熵解决方案的存在。应用此结果，我们在至少一个初始功能是周期性的情况下建立了比较原理。在无穷大的初始函数消失的情况下（在强平均值的意义上），我们证明了在精确的非线性扩散性条件下熵溶液的长时间衰变。
We prove existence of the largest and the smallest entropy solutions to the Cauchy problem for a nonlinear degenerate anisotropic parabolic equation. Applying this result, we establish the comparison principle in the case when at least one of the initial functions is periodic. In the case when initial function vanishes at infinity (in the sense of strong average) we prove the long time decay of an entropy solution under exact nonlinearity-diffusivity condition.
