Solutions to semilinear parabolic equations driven by mixed local-nonlocal operators blow up in finite time for sufficiently large initial data, for reaction terms like u^p with any p>1.
Kaplan,On the growth of solutions of quasilinear parabolic equations, Comm
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Blow-up of solutions to semilinear parabolic equations driven by mixed local-nonlocal operators with large initial data
Solutions to semilinear parabolic equations driven by mixed local-nonlocal operators blow up in finite time for sufficiently large initial data, for reaction terms like u^p with any p>1.