Abstract
In this paper, we study blow‐up solutions to nonlinear parabolic equations under the mixed boundary conditions. In order to obtain blow‐up solutions, we introduce new conditions as follows: for some constants α and γ with α > 2, where λ0 is the first eigenvalue for the Laplace operator, , and . In fact, the condition (Cρ 1) depends on the domain and the boundary condition because of the first eigenvalue λ0. Also, we provide examples which demonstrate the main results.
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