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تسجيل مستخدم جديدGlobal well-posedness, dissipation and blow up for semilinear heat equations in energy spaces associated with self-adjoint operators
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The purpose in this paper is to determine the global behavior of solutions to the initial-boundary value problems for energy-subcritical and critical semilinear heat equations by initial data with lower energy than the mountain pass level in energy spaces associated with self-adjoint operators satisfying Gaussian upper bounds. Our self-adjoint operators include the Dirichlet Laplacian on an open set, Robin Laplacian on an exterior domain, and Schrodinger operators, etc.
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