一类非线性wave equations中演化界面的精细描述
A refined description of evolving interfaces in certain nonlinear wave equations
摘要:
我们改进了最近的结果,建立了某些半线性波动方程的解的存在性,具有一个接口,大致扫出消失的中曲率在Minkowski空间的类时表面。与以前的工作相比,我们提出了更清晰的估计,在更强的规范,解决方案的问题。
英文摘要:
We improve on recent results that establish the existence of solutions of certain semilinear wave equations possessing an interface that roughly sweeps out a timelike surface of vanishing mean curvature in Minkowski space. Compared to earlier work, we present sharper estimates, in stronger norms, of the solutions in question.
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