Bounds for the fundamental solution of degenerate parabolic equations

DOI10.1080/03605308808820555zbMath0684.35004OpenAlexW2040259912MaRDI QIDQ4734165

Cristian E. Gutiérrez, Gail S. Nelson

Publication date: 1988

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308808820555

zbMATH Keywords

growth of fundamental solutions

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Degenerate parabolic equations (35K65)

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On Green functions for Dirichlet sub-Laplacians on \(H\)-type groups ⋮ Fundamental solution and Fourier series in eigenfunctions of degenerate elliptic operator ⋮ Pointwise estimates of solutions to the weighted porous medium equation and the fast diffusion one via weighted Riesz potentials ⋮ Quantitative a priori estimates for fast diffusion equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity ⋮ Gaussian bounds for degenerate parabolic equations ⋮ Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients ⋮ Green functions for weighted subelliptic \(p\)-Laplace operator constructed by Hörmander's vector fields ⋮ On the continuity of solutions of the equations of a porous medium and the fast diffusion with weighted and singular lower-order terms ⋮ Existence and non-existence of global solutions for a heat equation with degenerate coefficients ⋮ Boundary estimates for solutions to linear degenerate parabolic equations

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