On Space-Time Quasiconcave Solutions of the Heat Equation
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Publication:5383918
DOI10.1090/memo/1244zbMath1442.35002arXiv1405.6373OpenAlexW4210964441WikidataQ128058826 ScholiaQ128058826MaRDI QIDQ5383918
Xi-Nan Ma, Chuanqiang Chen, Paolo Salani
Publication date: 20 June 2019
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.6373
Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)
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Constant rank theorems for Li-Yau-Hamilton type matrices of heat equations ⋮ Weak Harnack Inequalities for Eigenvalues and the Monotonicity of Hessian's Rank ⋮ Non-preservation of \(\alpha\)-concavity for the porous medium equation ⋮ Strong space-time convexity and the heat equation ⋮ Convexity of level sets of minimal graph on space form with nonnegative curvature ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems ⋮ The Stefan problem and concavity ⋮ A quantitative constant rank theorem for quasiconcave solutions to fully nonlinear elliptic equations
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