Solutions for Problems for The 1-D Heat EquationHancock, Matthew J
In the first part of the paper, the authors obtain the asymptotics of Green’s function of the first boundary value problem for the heat equation in an m-dimensional cone K. The second part deals with the first boundary value problem for the heat equatio
Motivated by the recent proof of Newman's conjecture \\cite{R-T} we study certain properties of entire caloric functions, namely solutions of the heat equation $\\partial_t F = \\partial_z^2 F$ which are entire in $z$ and $t$. As a prerequisite, we establish some general properties...
Sign-changing stationary solutions and blowup for the two power nonlinear heat equation in a ball Consider the nonlinear heat equation B Slimene,Byrame - 《Journal of Mathematical Analysis & Applications》 被引量: 0发表: 2017年 Sign-changing stationary solutions and blowup for the nonlinear heat...
, by combining our result with the work of Lewis and Murray we resolve a long standing open problem in the field by characterizing those parabolic Lipschitz graph domains for which one has \mathrm{L}^{p} solvability (for some p <\infty ) of the Dirichlet problem for the heat equation. ...
3 Explicit Solutions of Hybrid Stochastic Heat Equa- tions Let us first discuss hybrid stochastic heat equation with external forces and Dirichlet boundary conditions ∂v(t,x) ∂t = Av(t, x) +α(r(t))v(t, x), x ∈ O, t > 0; v(t, x) = 0, x ∈ ∂O, t > 0; v...
Some aspects of the asymptotic behavior of the solutions of the semilinear heat equation and approximate controllability J. Math. Anal. Appl., Vol. 194 (1995), pp. 858-882 View PDFView articleView in ScopusGoogle Scholar 17 E Zuazua Exact boundary controllability for the semilinear wave equation...
We study local and asymptotic properties of singular interfaces of the {u=} level propagation of the blow-up solutions to the quasilinear heat equation Galaktionov,A. - 《Communications in Partial Differential Equations》 被引量: 19发表: 1997年 Convergence and blow-up of solutions for a comple...
Summary: We study three methods, based on continuous symmetries, to find approximate solutions for the multidimensional nonlinear heat equation $\\partial ... M Euler,N Euler,A Kohler - 《Journal of Physics A Mathematical & General》 被引量: 57发表: 1994年 NONCLASSICAL POTENTIAL SYMMETRIES AND ...
and He's variational iteration method are used to accomplish the required goals. The fractional derivative used in the article is described by He’s definition. He's fractional complex transform is used to convert the fractional differential equation into its traditional partner differential equation,...