Critical exponent and sharp lifespan estimates for semilinear third‐order evolution equations
Critical exponent and sharp lifespan estimates for semilinear third‐order evolution equations
We study semilinear third‐order (in time) evolution equations with fractional Laplacian and power nonlinearity , which was proposed by Bezerra–Carvalho–Santos (J. Evol. Equ. 2022) recently. In this manuscript, we obtain a new critical exponent for . Precisely, the global (in time) existence of small data Sobolev solutions is proved for …