Existence of solutions of the very fast diffusion equation Original Research Article

Let φm(u)=um/m if −10, View the MathML source with View the MathML source, and 0⩽f∈BV(0,∞) such that View the MathML source for some constant δ>0, we prove the existence of solution of the equation ut=(φm(u))xx in View the MathML source, u(x,·)=u0 in View the MathML source, for some constant T0>T such that View the MathML source which satisfies View the MathML source as x→∞ for all 0