Solution representations for a wave equation with weak dissipation
نویسندگان
چکیده
منابع مشابه
Solution Representations for a Wave Equation with Weak Dissipation
parameterized by μ > 0, and prove a representation theorem for its solutions using the theory of special functions. This representation is used to obtain Lp–Lq estimates for the solution and for the energy operator corresponding to this Cauchy problem. Especially for the L2 energy estimate we determine the part of the phase space which is responsible for the decay rate. It will be shown that th...
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ژورنال
عنوان ژورنال: Mathematical Methods in the Applied Sciences
سال: 2003
ISSN: 0170-4214,1099-1476
DOI: 10.1002/mma.446