Admissible conditions for parabolic equations degenerating at infinity

DOI10.1090/S1061-0022-08-00996-5zbMath1152.35413OpenAlexW2010343576MaRDI QIDQ3525226

Tesei, Alberto, Maria Assunta Pozio, Shoshana Kamin

Publication date: 12 September 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-08-00996-5

zbMATH Keywords

bounded solutionsDirichlet or Neumann conditions at infinitylinear parabolic equations with variable density

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (21)

Dirichlet conditions at infinity for parabolic and elliptic equations ⋮ Prescribed conditions at infinity for fractional parabolic and elliptic equations with unbounded coefficients ⋮ Blow-up and global existence for the inhomogeneous porous medium equation with reaction ⋮ Unnamed Item ⋮ Global existence and blow-up of solutions to the porous medium equation with reaction and singular coefficients ⋮ Uniqueness for fractional parabolic and elliptic equations with drift ⋮ Uniqueness and support properties of solutions to singular quasilinear parabolic equations on surfaces of revolution ⋮ Uniqueness in weighted Lebesgue spaces for an elliptic equation with drift on manifolds ⋮ On the Cauchy problem for nonlinear parabolic equations with variable density ⋮ Existence and nonexistence of local/global solutions for a nonhomogeneous heat equation ⋮ On qualitative properties of solutions to quasilinear parabolic equations admitting degenerations at infinity ⋮ Existence of a solution to the Cauchy problem for the aggregation equation in hyperbolic space ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and fast decaying density ⋮ Well-posedness of the Cauchy problem for nonlinear parabolic equations with variable density in the hyperbolic space ⋮ Dirichlet boundary conditions for degenerate and singular nonlinear parabolic equations ⋮ Uniqueness of solutions to degenerate elliptic problems with unbounded coefficients ⋮ Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations ⋮ Conditions at infinity for the inhomogeneous filtration equation ⋮ Uniqueness and non-uniqueness of bounded solutions to singular nonlinear parabolic equations ⋮ Prescribed conditions at infinity for parabolic equations ⋮ Blow-up and global existence for solutions to the porous medium equation with reaction and slowly decaying density

Cites Work

• On the uniqueness of bounded solutions to singular parabolic problems
• A weighted symmetrization for nonlinear elliptic and parabolic equations in inhomogeneous media
• The Cauchy problem for the nonlinear filtration equation in an inhomogeneous medium
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• On the Cauchy problem for a class of parabolic equations with variable density
• On uniqueness and nonuniqueness of the positive Cauchy problem for parabolic equations with unbounded coefficients
• An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations
• Well-posedness of initial value problems for singular parabolic equations
• Nonuniqueness of the positive Dirichlet problem for parabolic equations in cylinders
• Non-linear diffusion in a finite mass medium
• The Filtration Equation in a Class of Functions Decreasing at Infinity
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