Weighted estimates of solutions to second order parabolic equations |
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Authors: | Sungwon Cho |
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Institution: | Yonsei BK21 Mathematical Science Institute, Yonsei University, 262 Seongsanno, Seodaemun-gu, Seoul 120-749, Republic of Korea |
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Abstract: | We evaluate the rate of decay for solutions to second order parabolic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded. Our approach is based on a special growth lemma, and it works for both divergence and non-divergence equations, in domains satisfying a general “exterior measure condition” (A). The result for elliptic case is published in Cho and Safonov (2007) 2]. |
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Keywords: | primary 35B65 secondary 35K20 |
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