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We analyze the dynamics of desorption of a polymer molecule which is pulledat one of its ends with force $f$, trying to desorb it. We assume a monomer todesorb when the pulling force on it exceeds a critical value $f_{c}$. Weformulate an equation for the average position of the $n^{th}$ monomer, whichtakes into account excluded volume interaction through the blob-picture of apolymer under external constraints. The approach leads to a diffusion equationwith a $p$-Laplacian for the propagation of the stretching along the chain.This has to be solved subject to a moving boundary condition. Interestingly,within this approach, the problem can be solved exactly in the trumpet,stem-flower and stem regimes. In the trumpet regime, we get$\tau=\tau_{0}n_d^{2}$ where $n_d$ is the number of monomers that have desorbedat the time $\tau$. $\tau_{0}$ is known only numerically, but for $f$ close to$f_{c}$, it is found to be $\tau_{0}\sim f_c/(f^{2/3}-f_{c}^{2/3})$. If oneused simple Rouse dynamics, this result changes to {\normalsize $\tau\sim f_cn_d^2/(f-f_{c})$.} In the other regimes too, one can find exact solution, andinterestingly, in all regimes $\tau \sim n_d^2$.

Dynamics of pulled desorption with effects of excluded volume interaction: The p-Laplacian diffusion equation and its exact solution