Initial traces and solvability of Cauchy problem to a semilinear parabolic system
From MaRDI portal
Publication:2058818
DOI10.2969/jmsj/84728472zbMath1479.35518arXiv1910.06546OpenAlexW3207455072MaRDI QIDQ2058818
Yohei Fujishima, Kazuhiro Ishige
Publication date: 10 December 2021
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.06546
Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58) PDEs with measure (35R06)
Related Items
Optimal singularities of initial functions for solvability of a semilinear parabolic system, Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ}, Existence of global-in-time solutions to a system of fully nonlinear parabolic equations, Solvability of superlinear fractional parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Initial trace for a doubly nonlinear parabolic equation
- Optimal existence and uniqueness theory for the fractional heat equation
- The Cauchy problem for the Finsler heat equation
- Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators
- Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\)
- Single-point blow-up for a semilinear parabolic system
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- Boundedness and blow up for a semilinear reaction-diffusion system
- Liouville theorems and blow up behaviour in semilinear reaction diffusion systems
- Existence of solutions for a fractional semilinear parabolic equation with singular initial data
- Cauchy problem and initial traces for a doubly nonlinear degenerate parabolic equation
- Initial trace of solutions of some quasilinear parabolic equations with absorption
- On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
- Improved conditions for single-point blow-up in reaction-diffusion systems
- Supersolutions for a class of nonlinear parabolic systems
- Admissible Lp norms for local existence and for continuation in semilinear parabolic systems are not the same
- On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
- The Initial Trace of a Solution of the Porous Medium Equation
- The Cauchy Problem for u t = Δu m When 0 < m < 1
- A Uniqueness Result for a Semilinear Reaction-Diffusion System
- Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
- Initial trace of positive solutions of some nonlinear parabolic equations
- A Fujita‐type global existence—global non‐existence theorem for a system of reaction diffusion equations with differing diffusivities
- Solvability of the Heat Equation with a Nonlinear Boundary Condition
- On the Existence of Solutions of the Cauchy Problem for a Doubly Nonlinear Parabolic Equation
- Blow-up set for a semilinear heat equation and pointedness of the initial data
- Positive Temperatures on an Infinite Rod