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An extension of solutions to convolution equations with the loss of smoothness
Homogeneous convolution equations mean periodic functions zeros of entire functions
2012/6/19
In the present paper the smoothness loss of an extension of solutions to convolution equations is studied. Also examples for some kinds of convolvers are given.
Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem
Finite time blow-up solutions p-Laplacian generalized convexity regularly varying functions
2011/9/22
Abstract: In this paper we study a class of nonlinearities for which a nonlocal parabolic equation with Neumann-Robin boundary conditions, for $p$-Laplacian, has finite time blow-up solutions.
An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis
fire, boilover Stefan problems heat balance integral
2011/1/20
Stefan prob lems rel e vant to burn ing oil-wa ter sys tems are for mu lated. Two mov ing bound ary sub-prob lems are de fined: burn ing liq uid sur face and for ma tion of a dis til la tion (“hot zon...
Perturbational Blowup Solutions to the 1-dimensional Compressible Euler Equations
Perturbational Blowup 1-dimensional Compressible Euler Equations
2011/1/20
We study the construction of analytical non-radially solutions for the 1-dimensional com-pressible adiabatic Euler equations in this article. We could design the perturbational method
to construct a ...
Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule
Woods-Saxon potential improved quantization rule Pekeris approximation
2010/12/13
The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical
Woods-Saxon effective potential in D dimensions are obtained within the new improved quantization rule for al...
Global solutions for the generalized Boussinesq equation in low-order Sobolev spaces
Global solutions generalized Boussinesq equation low-order Sobolev spaces
2010/12/14
We show that the Cauchy problem for the defocusing generalized Boussinesq equation utt − uxx + uxxxx − (|u|2ku)xx = 0, k 1, on the real line is globally well-posed in Hs(R) for s > 1W...
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation
2010/11/29
Conditions for the second-order linear differential equation X3 i=0 a3,ixi ! y′′ + X2 i=0 a2,ixi ! y′− X1 i=0 τ1,ixi! y = 0 to have polynomial solutions are given. Several application of these r...