The value of the critical exponent for reaction-diffusion equations in cones
From MaRDI portal
Publication:914982
DOI10.1007/BF00377980zbMath0702.35131MaRDI QIDQ914982
Peter Meier, Levine, Howard A.
Publication date: 1990
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Related Items
A critical behavior for some semilinear parabolic equations involving sign changing solutions, On critical exponents for the heat equation with a nonlinear boundary condition, Global existence and asymptotic behavior of solutions to a semilinear parabolic equation on Carnot groups, Self-similar blow-up profiles for a reaction-diffusion equation with critically strong weighted reaction, Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations, On the existence and nonexistence of global solutions for the porous medium equation with strongly nonlinear sources in a cone, On the equation ut = ∆uα + uβ, Nonexistence criteria for systems of parabolic inequalities in an annulus, On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition, Semilinear degenerate evolution inequalities with singular potential constructed from the generalized Greiner vector fields, Note on critical exponents for a system of heat equations coupled in the boundary conditions, Critical exponent for the bipolar blowup in a semilinear parabolic equation, Existence and nonexistence of global positive solutions for a weakly coupled \(P\)-Laplacian system, Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method, Asymptotic estimates and Fujita exponents of blow-up solutions in weighted parabolic systems, Global existence and blow-up of solutions for parabolic equations involving the Laplacian under nonlinear boundary conditions, A Method of Verified Computations for Solutions to Semilinear Parabolic Equations Using Semigroup Theory, Second critical exponent for evolution \(p\)-Laplacian equation with weighted source, Fujita type results for a quasilinear parabolic inequality of Hardy-Hénon type with time forcing terms, ASYMPTOTIC BEHAVIOR OF THE BLOW-UP AND GLOBAL EXISTENCE FOR A PARABOLIC EQUATION INVOLVING A CRITICAL EXPONENT, Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases, Nonexistence of global solutions for a nonlinear parabolic equation with a forcing term, Nonexistence of global solutions for a time-fractional damped wave equation in a \(k\)-times halved space, A semilinear parabolic problem with variable reaction on a general domain, A blowup result for the critical exponent in cones, Critical exponent for parabolic system with time-weighted sources in bounded domain, Fujita type results for convective-like reaction diffusion equations in exterior domains, An extension of Dickstein's ``small lambda theorem for finite time blowup, On the critical exponent for reaction-diffusion equations, Critical exponent for semilinear damped wave equations in the \(N\)-dimensional half space., The role of critical exponents in blow-up theorems: The sequel, Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone, A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations, The critical exponents of parabolic equations and blow-up inRn, The nonlinear heat equation involving highly singular initial values and new blowup and life span results, Harnack estimates for a kind of porous medium equation, Critical exponent for the parabolic equation u \(t = \delta u ^m + h (t)u ^p\) in a cone, The critical Fujita exponent for a diffusion equation with a potential term, The critical exponent of doubly singular parabolic equations, Existence and nonexistence results for higher-order semilinear evolution inequalities with critical potential, On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains, Blow-up results for a class of first-order nonlinear evolution inequalities, Large time behavior of reaction-diffusion equations with Bessel generators, Existence and nonexistence of time-global solutions to damped wave equation on half-line, Critical exponents of quasilinear parabolic equations, Numerical verification for existence of a global-in-time solution to semilinear parabolic equations, Blow-up analyses in reaction-diffusion equations with Fujita exponents, Unnamed Item, The critical exponent of degenerate parabolic systems, The behavior of the life span for solutions to \(u_t=\Delta u+a(x) u^p\) in \(\mathbb{R}^d\), A priori estimates and the representation formula for all positive solutions to a semilinear parabolic problem, Unnamed Item, Well-posedness and blow-up for an inhomogeneous semilinear parabolic equation, The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values, Existence and nonexistence results for reaction-diffusion equations in product of cones, On the critical exponent for some semilinear reaction-diffusion systems on general domains, The blow-up rate for a system of heat equations completely coupled in the boundary conditions, Geometry of unbounded domains,poincaré inequalities and stability in semilinear parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A blowup result for the critical exponent in cones
- Remarks on the large time behaviour of a nonlinear diffusion equation
- Blow-up of solutions of semilinear parabolic differential equations
- Existence and non-existence of global solutions for a semilinear heat equation
- On the growing problem for semilinear heat equations
- Multidimensional nonlinear diffusion arising in population genetics
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Topics in stability and bifurcation theory
- On the Existence and Nonexistence of Global Solutions of Reaction-Diffusion Equations in Sectorial Domains
- An L∞ blow‐up estimate for a nonlinear heat equation
- Global and local behavior of positive solutions of nonlinear elliptic equations
- On nonexistence of global solutions of some semilinear parabolic differential equations
- On the growth of solutions of quasi‐linear parabolic equations
