Regularity of Weak Solutions of Semilinear Parabolic Systems of Arbitrary Order
نویسندگان
چکیده
Let u be a weak solution of the initial boundary value problem for the semilinear parabolic system of order 2m : u′(t) + Au(t) + f(t, ., u, ...,∇u) = 0. Let f satisfy controllable growth conditions. Then u is smooth. This result is proved by a kind of continuity method, where the time t is the parameter of continuity. Classification: 35D10, 35K60, 35K50.
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