On the Nonlinear Wave Equation with Time-periodic Potential
نویسندگان
چکیده
منابع مشابه
Exponential Growth for the Wave Equation with Compact Time-Periodic Positive Potential
We prove the existence of smooth positive potentials V.t; x/; periodic in time and with compact support in x, for which the Cauchy problem for the wave equation ut t xuC V.t; x/u D 0 has solutions with exponentially growing global and local energy. Moreover, we show that there are resonances, ́ 2 C, j ́j > 1, associated to V.t; x/. c 2008 Wiley Periodicals, Inc.
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This work is supported by National Natural Science Foundation of China, Specialized Research Fund for the Doctoral Program of Higher Education, 973 Program (2010CB808002) , China Postdoctoral Science Foundation and the Fundamental Research Funds for the Central Universities. Emails: Y. Li: [email protected], J. Yin: [email protected], Y. Wang: [email protected] Corresponding author. Email: ma...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2019
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnz014