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Global existence and nonexistence for semilinear parabolic systems with nonlinear boundary conditions

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.1670090111openalex-snapshot
A potential well theory for the heat equation with a nonlinear boundary condition
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Dynamical Systems and Evolution Equations
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On global solution of nonlinear hyperbolic equations
inferredcites →https://doi.org/10.1007/bf02774019openalex-snapshot
Dual semigroups and second order linear elliptic boundary value problems
inferredcites →https://doi.org/10.1016/0022-0396(80)90063-7openalex-snapshot
Global solutions of semilinear evolution equations satisfying an energy inequality
inferredcites →https://doi.org/10.1016/0022-0396(88)90156-8openalex-snapshot
Parabolic evolution equations and nonlinear boundary conditions
inferredcites →https://doi.org/10.1016/0024-3795(86)90305-8openalex-snapshot
Semigroups and nonlinear evolution equations
inferredcites →https://doi.org/10.1016/0362-546x(88)90073-9openalex-snapshot
Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
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Periodic Solutions of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1016/s0924-6509(09)x7004-2openalex-snapshot
Interpolation Theory, Function Spaces, Differential Operators
inferredcites →https://doi.org/10.1090/s0002-9939-1974-0364841-6openalex-snapshot
Some nonexistence theorems for initial-boundary value problems with nonlinear boundary constraints
inferredcites →https://doi.org/10.1093/qmath/28.4.473openalex-snapshot
REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
inferredcites →https://doi.org/10.1115/1.3157648openalex-snapshot
Dynamical Systems and Evolution Equations: Theory and Applications
inferredcites →https://doi.org/10.1137/0519023openalex-snapshot
Stability and Instability for Solutions of Burgers’ Equation with a Semilinear Boundary Condition
inferredcites →https://doi.org/10.1137/0520060openalex-snapshot
Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
inferredcites →https://doi.org/10.1512/iumj.1985.34.34025openalex-snapshot
inferredcites →https://doi.org/10.1515/crll.1985.360.47openalex-snapshot
Global existence for semilinear parabolic systems.
inferredcites →https://doi.org/10.2307/2314669openalex-snapshot
Variational Methods for the Study of Nonlinear Operators
inferredcites →https://doi.org/10.24033/asens.1178openalex-snapshot
Équations différentielles abstraites
inferredcites →https://doi.org/10.4064/sm-44-1-47-60openalex-snapshot
Interpolation in $L^{p}$ with boundary conditions

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Analysis for Parabolic Equations Based on the Results About Ode
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Global existence, asymptotic stability and blow‐up of solutions for the generalized Boussinesq equation with nonlinear boundary condition
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Global existence and blow‐up for a system of heat equations with non‐linear boundary conditions
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Quasilinear Parabolic Systems with Nonlinear Boundary Conditions
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Quasilinear Reaction–Diffusion Systems with Nonlinear Boundary Conditions
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Doubly Nonlinear Parabolic Equation with Nonlinear Boundary Conditions
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On Some Global Existence Theorems for a Semilinear Parabolic Problem
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Grow-up on the Boundary for a Semilinear Parabolic Problem
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Large Time Behavior of Solutions of a Semilinear Parabolic Equation with a Nonlinear Dynamical Boundary Condition
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Blow-up rates for parabolic systems
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Nonlinear elliptic systems with dynamic boundary conditions
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Stability properties of parabolic equations in unbounded domains
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Strong solutions of semilinear matched microstruture models
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Global existence for parabolic systems by Lyapunov functions
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Reaction diffusion systems with nonlinear boundary conditions
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Some Notes on Reaction Diffusion Systems with Nonlinear Boundary Conditions
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Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type
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Properties of positive solutions to a nonlinear parabolic problem
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Global well-posedness for semilinear heat equations with linear or nonlinear boundary dissipation
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Diffusivity versus absorption through the boundary
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Heat equation with dynamical boundary conditions of reactive–diffusive type
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On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions
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On the Laplace equation with dynamical boundary conditions of reactive–diffusive type
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Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux
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On global existence for semilinear parabolic systems
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Critical exponents for a nonlinear diffusion system
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Non-simultaneous blow-up in coupled heat equations with multi-nonlinearities
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Global solutions for quasilinear parabolic systems
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Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities
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Fast–slow diffusion systems with nonlinear boundary conditions
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Blow-up and blow-up rate for a reaction–diffusion model with multiple nonlinearities
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Multinonlinear interactions in quasi-linear reaction-diffusion equations with nonlinear boundary flux
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On a singularly perturbed wave equation with dynamic boundary conditions
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Global existence for the heat equation with nonlinear dynamical boundary conditions
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Global existence and decay of solutions of the porus medium equation with nonlinear boundary conditions
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Reductions and Deviations for Stochastic Partial Differential Equations Under Fast Dynamical Boundary Conditions
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The Role of Critical Exponents in Blowup Theorems
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A Parabolic System Model for the Formation of Porous Silicon: Existence, Uniqueness, and Stability
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Asymptotic Behavior of Solutions to Reaction-Diffusion Equations with Dynamic Boundary Conditions and Irregular Data
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一个非线性抛物型方程正解的性质
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