Blow-up solutions in semilinear heat equations refer to phenomena where solutions become unbounded in finite time, an occurrence that has far‐reaching implications for the study of nonlinear partial ...
In this paper we prove local existence of solutions of the nonlinear heat equation ${\mathrm{u}}_{\mathrm{t}}=\mathrm{\Delta }\mathrm{u}+{\left|\mathrm{u}\right ...
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