Cover Image

On space-time quasiconcave solutions of the heat equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Chuanqiang, Ma, Xi-Nan, Salani, Paolo
Format:	Preprint
Published:	2014
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Curvature estimates for the level sets of solutions of the Monge-Ampère equation $\det D^2 u=1$
by: Chen, Chuanqiang, et al.
Published: (2013)

Log-concavity of solutions of parabolic equations related to the Ornstein-Uhlenbeck operator and applications
by: Colesanti, Andrea, et al.
Published: (2026)

The Neumann Problem for Parabolic Hessian Quotient Equations
by: Chen, Chuanqiang, et al.
Published: (2020)

Geometric properties of solutions to elliptic PDE's in Gauss space and related Brunn-Minkowski type inequalities
by: Colesanti, Andrea, et al.
Published: (2025)

Preservation of F-convexity under the heat flow
by: Ishige, Kazuhiro, et al.
Published: (2026)

Positive solutions of a critical equation in sub-Finsler geometry
by: Garofalo, Nicola, et al.
Published: (2024)

Weighted Sobolev space theory for the heat equation and the time-fractional heat equation in non-smooth domains
by: Seo, Jinsol
Published: (2024)

The exterior Dirichlet problem for the homogeneous $k$-Hessian equation
by: Ma, Xi-Nan, et al.
Published: (2022)

Modulus of continuity for solutions of non-local heat equations
by: Andrews, Ben, et al.
Published: (2025)

Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity
by: Avetisyan, Zhirayr, et al.
Published: (2025)

Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity
by: Avetisyan, Zhirayr, et al.
Published: (2026)

On global solutions of heat equations with time-dependent nonlinearities on unimodular Lie groups
by: Chatzakou, Marianna, et al.
Published: (2024)

Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in $R^n$
by: Souplet, Philippe
Published: (2016)

Liouville theorem for elliptic equations with a source reaction term involving the product of the function and its gradient in $\mathbb R^n$
by: Ma, Xi-Nan, et al.
Published: (2023)

Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
by: Ioku, Norisuke, et al.
Published: (2024)

Liouville theorem of the subcritical biharmonic equation on complete manifolds
by: Ma, Xi-Nan, et al.
Published: (2025)

The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction
by: Colesanti, Andrea, et al.
Published: (2024)

The Liouville-type equation and an Onofri-type inequality on closed 4-manifolds
by: Ma, Xi-Nan, et al.
Published: (2025)

Jerison-Lee identity and Semi-linear subelliptic equation on CR manifold
by: Ma, Xi-Nan, et al.
Published: (2023)

On the existence and nonexistence of global solutions of the semilinear heat equation
by: Zhang, Kaiqiang, et al.
Published: (2026)

Fundamental solution and diffusion limits for the heat equation in a half-space with a diffusive dynamical boundary condition
by: Ishige, Kazuhiro, et al.
Published: (2026)

Liouville theorem for elliptic equations involving the sum of the function and its gradient in $\mathbb R^n$
by: Ma, Xi-Nan, et al.
Published: (2023)

Qualitative properties of free boundaries for the exterior Bernoulli problem for the half Laplacian
by: Jarohs, Sven, et al.
Published: (2024)

Finite time blow up solutions for heat equations with Neumann boundary conditions on $\mathbb{R}_{+}^{4}$
by: Fang, Xiang, et al.
Published: (2025)

On variable Lebesgue spaces and generalized nonlinear heat equations
by: Vergara-Hermosilla, Gastón
Published: (2024)

Fundamental solution to the heat equation with a dynamical boundary condition
by: Ishige, Kazuhiro, et al.
Published: (2024)

Finite-time blow-up solutions for the Calogero--Sutherland derivative NLS
by: Chen, Xi, et al.
Published: (2026)

Asymptotic behavior of the fundamental solution of space-time fractional equations with a reaction term
by: Abadías, Luciano, et al.
Published: (2025)

Weak and mild solutions to the MHD equations and the viscoelastic Navier-Stokes equations with damping in Wiener amalgam spaces
by: Lai, Chen-Chih
Published: (2025)

Chernoff solutions of the heat and the Schrödinger equation in the Heisenberg group
by: Drago, Nicolò, et al.
Published: (2025)

Existence of solutions for time-dependent Signorini-type problems in linearised viscoelasticity
by: Piersanti, Paolo
Published: (2025)

On a Fujita critical time-fractional semilinear heat equation in the uniformly local weak Zygmund type space
by: Kojima, Mizuki
Published: (2024)

Approximation analysis for weak solutions of stochastic partial differential equations
by: Lin, Xi
Published: (2025)

Existence of solutions to the fractional semilinear heat equation with a singular inhomogeneous term
by: Ishige, Kazuhiro, et al.
Published: (2024)

Weak and parabolic solutions of advection-diffusion equations with rough velocity field
by: Bonicatto, Paolo, et al.
Published: (2023)

Long-time asymptotic profiles of the n-D heat equation and modified heat kernels
by: Minami, Kana, et al.
Published: (2024)

Complex-valued solutions of the mKdV equations in generalized Fourier-Lebesgue spaces
by: Chen, Zijun, et al.
Published: (2024)

Large data existence of global-in-time strong solutions to the incompressible Navier-Stokes equations in high space dimensions
by: Xu, Xiangsheng
Published: (2024)

Non-uniqueness of mild solutions for 2d-heat equations with singular initial data
by: Fujishima, Yohei, et al.
Published: (2025)

Variational problems related to self-similar solutions of Hardy-Sobolev heat equation in RN
by: Fang, Fei, et al.
Published: (2026)