An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations
From MaRDI portal
Publication:1384607
DOI10.1007/PL00004378zbMath0893.35042OpenAlexW2003867354MaRDI QIDQ1384607
Kazuhiro Ishige, Minoru Murata
Publication date: 2 August 1998
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00004378
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)
Related Items (13)
A new kind of the solution of degenerate parabolic equation with unbounded convection term ⋮ Conservativeness of diffusion processes with drift ⋮ Unnamed Item ⋮ Asymptotic expansions of solutions of the Cauchy problem for nonlinear parabolic equations ⋮ Uniqueness/nonuniqueness for nonnegative solutions of second-order parabolic equations of the form \(u_{t}=Lu+Vu-\gamma u^{p}\) in \(\mathbb R^{n}\). ⋮ Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli-Kohn-Nirenberg weights ⋮ Admissible conditions for parabolic equations degenerating at infinity ⋮ Local quasi-concavity of the solutions of the heat equation with a nonnegative potential ⋮ Quantitative a priori estimates for fast diffusion equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity ⋮ Doob’s ω-Transform on Local Dirichlet Spaces ⋮ An intrinsic metric approach to uniqueness of the positive Dirichlet problem for parabolic equations in cylinders ⋮ Positive solutions of reaction diffusion equations with superlinear absorption: universal bounds, uniqueness for the Cauchy problem, boundedness of stationary solutions ⋮ An intrinsic metric approach to uniqueness of the positive Cauchy--Neumann problem for parabolic equations.
This page was built for publication: An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations