On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type
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Publication:5855938
DOI10.1070/IM8949zbMath1460.35053OpenAlexW3037534229MaRDI QIDQ5855938
A. A. Panin, M. O. Korpusov, Andrey E. Shishkov
Publication date: 23 March 2021
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im8949
Critical exponents in context of PDEs (35B33) Initial value problems for nonlinear higher-order PDEs (35G25) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44)
Related Items (5)
Semilinear Models of Sobolev Type. Non-Uniqueness of Solution to the Showalter-Sidorov Problem ⋮ Global-in-time solvability of a nonlinear system of equations of a thermal-electrical model with quadratic nonlinearity ⋮ Sobolev-Type Systems and Applied Problems ⋮ On the blow-up of the solution of a nonlinear system of equations of a thermal-electrical model ⋮ On the blow-up of the solution and on the local and global solvability of the Cauchy problem for a nonlinear equation in Hölder spaces
Cites Work
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- Blow-up for one Sobolev problem: theoretical approach and numerical analysis
- On instant blow-up for semilinear heat equations with growing initial data
- On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation
- On the instantaneous blow-up of solutions of some quasilinear evolution problems
- On the absence of local solutions of several evolutionary problems
- Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip
- The problem of blow-up in nonlinear parabolic equations
- Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors
- Numerical diagnosis of blow-up of solutions of pseudoparabolic equations
- Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type
- Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis
- Blow-up in Nonlinear Sobolev Type Equations
- Elliptic Partial Differential Equations of Second Order
- Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities
- On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation
- NONCLASSICAL EQUATIONS OF MATHEMATICAL PHYSICS. LINEAR SOBOLEV TYPE EQUATIONS OF HIGHER ORDER
- Local Solvability and Decay of the Solution of an Equation with Quadratic Noncoercive Nonlineatity
- Instantaneous blow‐up versus local solvability of solutions to the Cauchy problem for the equation of a semiconductor in a magnetic field
- Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
- Potential theory
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