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arXiv · 2311.17579

An inhomogeneous nonlinear parabolic equation with concave nonlinearity

Miguel Loayza·Mohamed Majdoub
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Abstract

We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation $u_t-\Delta u=|x|^{-\gamma}\,u^q$, $0 0$ in the whole space $\mathbb{R}^N$, and for non-negative initial data $u_0\in C_0(\mathbb{R}^N)$.

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Miguel Loayza, Mohamed Majdoub. 2023-11-29. An inhomogeneous nonlinear parabolic equation with concave nonlinearity. https://doi.org/10.2140/tunis.2026.8.41

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