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Grzegorz ?ysik S?awomir Michalik 《Journal of Mathematical Analysis and Applications》2008,341(1):372-385
We study formal power series solutions to the initial value problem for semilinear heat equation t∂u−Δu=f(u) with polynomial nonlinearity f and prove that they belong to the formal Gevrey class G2. Next we give counterexamples showing that the solution, in general, is not analytic in time at t=0. 相似文献
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Angela Kopp 《Annals of Physics》2007,322(6):1466-1476
We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition. 相似文献
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