Global unbounded solutions of the Fujita equation in the intermediate range∗
نویسندگان
چکیده
We consider the Fujita equation ut = ∆u+ u p on RN with N ≥ 3. We prove the existence of global, unbounded solutions for pS < p < pJL, where pS := (N + 2)/(N − 2) and pJL := (N − 2)2 − 4N + 8 √ N − 1 (N − 2)(N − 10) if N > 10,
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