Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium
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Publication:1995542
DOI10.3934/DCDS.2020318zbMath1458.35227OpenAlexW3080801870MaRDI QIDQ1995542
Juliana Fernandes, Liliane A. Maia
Publication date: 24 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2020318
Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51)
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Cites Work
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- A permutation related to non-compact global attractors for slowly non-dissipative systems
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Transversality of stable and Nehari manifolds for a semilinear heat equation
- Periodic nonlinear Schrödinger equation with application to photonic crystals
- A positive bound state for an asymptotically linear or superlinear Schrödinger equation
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Semigroups of linear operators and applications to partial differential equations
- The effect of domain shape on the number of positive solutions of certain nonlinear equations
- Semilinear evolution equations in Banach spaces
- Geometric theory of semilinear parabolic equations
- Structural stability for time-periodic one-dimensional parabolic equations
- Saddle points and instability of nonlinear hyperbolic equations
- Dual variational methods in critical point theory and applications
- Introduction to non-Kerr Law Optical Solitons
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Variational elliptic problems which are nonquadratic at infinity
- Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
- A uniqueness result for a semilinear elliptic equation in symmetric domains
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