The aim of this paper is to discuss the existence and uniqueness ofsolutions for the porous medium equation ut-(u^m)xx=μ（x） in （x，t）∈R×（0，+∞） with initial condition u(x,0)=u0(x) x∈（-∞，+∞），where ...The aim of this paper is to discuss the existence and uniqueness ofsolutions for the porous medium equation ut-(u^m)xx=μ（x） in （x，t）∈R×（0，+∞） with initial condition u(x,0)=u0(x) x∈（-∞，+∞），where μ(x) is a nonnegative finite Radon measure, u0∈L^1 (R)∩L^∞ (R) is a nonnegative function, and m>1, and R≡(-∞, +∞).展开更多
文摘The aim of this paper is to discuss the existence and uniqueness ofsolutions for the porous medium equation ut-(u^m)xx=μ（x） in （x，t）∈R×（0，+∞） with initial condition u(x,0)=u0(x) x∈（-∞，+∞），where μ(x) is a nonnegative finite Radon measure, u0∈L^1 (R)∩L^∞ (R) is a nonnegative function, and m>1, and R≡(-∞, +∞).
