diff --git a/README.md b/README.md
index b7d945bd74089ba0da982c65878fc24636acea06..6aa86f03b395c64bcecb5a23a203daf91dfafaa7 100644
--- a/README.md
+++ b/README.md
@@ -7,6 +7,12 @@ This project contains supplemental Matlab code for the article:
 
 It demonstrates a numerical method for computing the optimal event-based sampling
 scheme for the continious-time LQG problem. The problem is related to an elliptic
-convection--diffusion type of partial-differential equation (PDE) with free 
-boundary, a so called Stefan problem. The solution to this PDE is a value
-function $V$, from which the optimal sampling scheme can be determined.
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+convection-diffusion type of partial-differential equation (PDE) with free 
+boundary, a so called Stefan problem. The PDE is:
+
+'''math 
+x_H^\intercalQx_H
+'''
+
+The solution to this PDE is the value function $V$, and the free boundary
+$\partial\Omega$
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