Pseudo-almost periodic viscosity solutions of second-order nonlinear parabolic equations |
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| Authors: | Shilin Zhang Zhen Gao Daxiong Piao |
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| Affiliation: | aSchool of Mathematics of Shandong University, Jinan, 250100, China;bOcean University of China, School of Mathematical Sciences, Qingdao, 266100, China |
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| Abstract: | In this paper we generalize the comparison result of Bostan and Namah (2007) [8] to the second-order parabolic case and prove two properties of pseudo-almost periodic functions; then by using Perron’s method we prove the existence and uniqueness of time pseudo-almost periodic viscosity solutions of second-order parabolic equations under usual hypotheses. |
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| Keywords: | MSC: 35B15 35K55 |
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