Local/global existence analysis of fractional wave equations with exponential nonlinearity
From MaRDI portal
Publication:6143520
DOI10.1016/j.bulsci.2023.103357OpenAlexW4387747111MaRDI QIDQ6143520
Publication date: 24 January 2024
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2023.103357
Initial value problems for second-order hyperbolic equations (35L15) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in \(\mathbb R^2\)
- Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
- A blowing up wave equation with exponential type nonlinearity and arbitrary positive energy
- The Cauchy problem for heat equations with exponential nonlinearity
- Scattering for the two-dimensional energy-critical wave equation
- Global well-posedness of the Cauchy problem for a super-critical nonlinear wave equation in two space dimensions
- An \(L_{q}(L_{p})\)-theory for the time-fractional evolution equations with variable coefficients
- On interpolation of the Fourier maximal operator in Orlicz spaces
- Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity
- Blowup solutions for a reaction-diffusion system with exponential nonlinearities
- Integrodifferential equation which interpolates the heat equation and the wave equation
- Weighted mixed norm estimates for fractional wave equations with VMO coefficients
- Weighted \(L_q(L_{p})\)-estimate with Muckenhoupt weights for the diffusion-wave equations with time-fractional derivatives
- The Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity
- Well-posedness and regularity for fractional damped wave equations
- Well-posedness results for fractional semi-linear wave equations
- Local existence and nonexistence for reaction-diffusion systems with coupled exponential nonlinearities
- Global well-posedness and blow-up solutions of the Cauchy problem for a time-fractional superdiffusion equation
- Self-similar solutions for a superdiffusive heat equation with gradient nonlinearity
- Well- and Ill-posedness Issues for a Class of 2D Wave Equation with Exponential Growth
- Fractional diffusion and wave equations
- On a backward problem for nonlinear time fractional wave equations
- On local existence and blowup of solutions for a time‐space fractional diffusion equation with exponential nonlinearity
- Basic Theory of Fractional Differential Equations
- Existence and regularity results for terminal value problem for nonlinear fractional wave equations
- Space-time estimates of linear flow and application to some nonlinear integro-differential equations corresponding to fractional-order time derivative
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Local/global existence analysis of fractional wave equations with exponential nonlinearity
