Asymptotically self-similar global solutions for a complex-valued quadratic heat equation with a generalized kernel
type: Item
instance of: scholarly article
title: Asymptotically self-similar global solutions for a complex-valued quadratic heat equation with a generalized kernel
zbMATH Open document ID: 1470.35108
author: Sarah Otsmane
published in: Boletín de la Sociedad Matemática Mexicana. Third Series
publication date: 2021-08-05T00:00:00Z
Mathematics Subject Classification ID: 35C06
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K08
Mathematics Subject Classification ID: 35K45
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 7379299
zbMATH Keywords: parabolic system
zbMATH Keywords: complex-valued heat equation
zbMATH Keywords: generalized heat kernel
zbMATH Keywords: global solutions
zbMATH Keywords: large time behavior
MaRDI profile type: Publication
full work available at URL: s40590-021-00354-y
OpenAlex ID: W3162413496
cites work: Some Theorems on Stable Processes
cites work: Far field asymptotics of solutions to convection equation with anomalous diffusion
cites work: Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
cites work: A blowup solution of a complex semi-linear heat equation with an irrational power
cites work: Profile for the imaginary part of a blowup solution for a complex-valued semilinear heat equation
cites work: Large time behavior of solutions for a complex-valued quadratic heat equation
cites work: On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range
cites work: Global solutions of higher-order semilinear parabolic equations in the supercritical range
cites work: Self-similar solutions, uniqueness and long-time asymptotic behavior for semilinear heat equations.
cites work: ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION
cites work: Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity
cites work: ASYMPTOTICS FOR FRACTIONAL NONLINEAR HEAT EQUATIONS
cites work: Blowup profile for a complex valued semilinear heat equation
cites work: The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
cites work: Global solutions for a nonlinear integral equation with a generalized heat kernel
cites work: Asymptotics for a nonlinear integral equation with a generalized heat kernel
cites work: Well-posedness of the Cauchy problem for the fractional power dissipative equations
cites work: Profile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation
cites work: Asymptotic self-similar behavior of solutions for a semilinear parabolic system
cites work: Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems
cites work: Asymptotically self-similar global solutions of a general semilinear heat equation
cites work: Q5607484
cites work: Asymptotically self-similar global solutions for a higher-order semilinear parabolic equation
cites work: Asymptotically Self-similar Global Solutions for a Higher-order Semilinear Parabolic System
cites work: Asymptotical behaviour of a class of semilinear diffusion equations
cites work: Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
cites work: Asymptotically self-similar solutions of the two-power nonlinear Schrödinger equation.
cites work: Well-posedness of the Cauchy problem for the fractional power dissipative equation in critical Besov spaces
cites work: Asymptotic Expansion of Solutions to the Dissipative Equation with Fractional Laplacian
cites work: Existence and nonexistence of global solutions for a semi-linear heat equation with fractional Laplacian
DOI: 10.1007/S40590-021-00354-Y
description: scientific article; zbMATH DE number 7379299