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[1] Youpeng Chen and Lihua Liu.
The blow-up profile for a nonlocal nonlinear parabolic equation with a nonlocal boundary condition.
Quart. Appl. Math.
70
(2012)
759-772.
Abstract, references, and article information
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[2] C. Y. Chan and T. Treeyaprasert.
Blow-up criteria for a parabolic problem due to a concentrated
nonlinear source on a semi-infinite interval.
Quart. Appl. Math.
70
(2012)
159-169.
Abstract, references, and article information
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[3] C. Y. Chan and P. Tragoonsirisak.
A multi-dimensional blow-up problem due to a concentrated nonlinear source in $\mathbb{R}^{N}$.
Quart. Appl. Math.
69
(2011)
317-330.
Abstract, references, and article information
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[4] A. Fasano, A. Mancini, M. Primicerio and B. Zaltzman.
Waiting time phenomena forced by critical boundary conditions in classical diffusion problems.
Quart. Appl. Math.
69
(2011)
105-122.
Abstract, references, and article information
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[5] Alfonso Castro and Víctor Padrón.
Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary.
Mem. Amer. Math. Soc.
208
(2010)
MR 2732463.
Abstract, references, and article information
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[6] Jong-Shenq Guo, Bei Hu and Chi-Jen Wang.
A nonlocal quenching problem arising in a micro-electro mechanical system.
Quart. Appl. Math.
67
(2009)
725-734.
MR 2588232.
Abstract, references, and article information
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[7] Noureddine Igbida.
From fast to very fast diffusion in the nonlinear heat equation.
Trans. Amer. Math. Soc.
361
(2009)
5089-5109.
MR 2515804.
Abstract, references, and article information
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[8] Catherine Choquet.
Transport of heat and mass in a fluid with vanishing mobility.
Quart. Appl. Math.
66
(2008)
771-779.
MR 2465144.
Abstract, references, and article information
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[9] C. Y. Chan and R. Boonklurb.
A blow-up criterion for a degenerate parabolic problem due to a concentrated nonlinear source.
Quart. Appl. Math.
65
(2007)
781-787.
MR 2370360.
Abstract, references, and article information
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[10] Gao-Feng Zheng.
On finite-time blow-up for a nonlocal parabolic problem arising from shear bands in metals.
Proc. Amer. Math. Soc.
135
(2007)
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MR 2276658.
Abstract, references, and article information
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[11] J. A. Addison, S. D. Howison and J. R. King.
Ray methods for free boundary problems.
Quart. Appl. Math.
64
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41-59.
MR 2211377.
Abstract, references, and article information
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[12] Keng Deng and Cheng-Lin Zhao.
Instability of solutions of a semilinear heat equation with a Neumann boundary condition.
Quart. Appl. Math.
63
(2005)
13-19.
MR 2126566.
Abstract, references, and article information
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[13] Philippe Souplet.
Infinite time blow-up for superlinear parabolic problems with
localized reaction.
Proc. Amer. Math. Soc.
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MR 2093064.
Abstract, references, and article information
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[14] H. Amann and P. Quittner.
Semilinear parabolic equations involving measures and low regularity data.
Trans. Amer. Math. Soc.
356
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MR 1984467.
Abstract, references, and article information
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Global existence from single-component $L_{p}$ estimates in a semilinear reaction-diffusion system.
Proc. Amer. Math. Soc.
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(2002)
2719-2724.
MR 1843418.
Abstract, references, and article information
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[16] Todd L. Fisher and Christopher P. Grant.
Blowup in a mass-conserving convection-diffusion equation with superquadratic nonlinearity.
Proc. Amer. Math. Soc.
129
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3353-3362.
MR 1845013.
Abstract, references, and article information
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[17] C. Lederman, J. L. Vázquez and N. Wolanski.
Uniqueness of solution to a free boundary problem from combustion.
Trans. Amer. Math. Soc.
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MR 1804512.
Abstract, references, and article information
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[18] Dongming Wei and Lew Lefton.
A priori $L^\rho$ error estimates for Galerkin approximations to porous medium and fast diffusion equations.
Math. Comp.
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MR 1609654.
Abstract, references, and article information
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Existence and nonexistence of global positive solutions to nonlinear diffusion problems with nonlinear absorption through the boundary.
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MR 1401789.
Abstract, references, and article information
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[20] David L. Russell and Bing-Yu Zhang.
Exact controllability and stabilizability of the Korteweg-de Vries equation.
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MR 1360229.
Abstract, references, and article information
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[21] Bei Hu and Hong-Ming Yin.
The profile near blowup time for solution of the
heat equation with a nonlinear boundary condition
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Trans. Amer. Math. Soc.
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MR 1270664.
Abstract, references, and article information
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[22] Gustaf Gripenberg.
Weak solutions of hyperbolic-parabolic Volterra
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Trans. Amer. Math. Soc.
343
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MR 1216335.
Abstract, references, and article information
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[23] J. J. L. Velázquez.
Classification of singularities for blowing up
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Trans. Amer. Math. Soc.
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MR 1134760.
Abstract, references, and article information
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[24] Marek Fila, Howard A. Levine and Juan L. Vázquez.
Stabilization of solutions of weakly singular
quenching problems
.
Proc. Amer. Math. Soc.
119
(1993)
555-559.
MR 1174490.
Abstract, references, and article information
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[25] P. Poláčik.
Imbedding of any vector field in a scalar
semilinear parabolic equation
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Proc. Amer. Math. Soc.
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MR 1089411.
Abstract, references, and article information
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[26] Marek Fila and Josephus Hulshof.
A note on the quenching rate
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Proc. Amer. Math. Soc.
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MR 1055772.
Abstract, references, and article information
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[27] Marek Fila.
Remarks on blow up for a nonlinear parabolic
equation with a gradient term
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Proc. Amer. Math. Soc.
111
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MR 1052569.
Abstract, references, and article information
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[28] Daniele Funaro and Otared Kavian.
Approximation of some diffusion evolution equations
in unbounded domains by Hermite functions
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Math. Comp.
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MR 1094949.
Abstract, references, and article information
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[29] David Isaacson and Eli L. Isaacson.
Comment on A.-P.\ Calder\'on's paper: ``On an
inverse boundary value problem'' [in {\it Seminar on
Numerical Analysis and its Applications to Continuum
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MR 962208.
Abstract, references, and article information
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[30] Björn E. J. Dahlberg and Carlos E. Kenig.
Nonnegative solutions of the initial-Dirichlet
problem for generalized porous medium equations in
cylinders
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J. Amer. Math. Soc.
1
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401-412.
MR 928264.
Abstract, references, and article information
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