The Android WebView supports linear gradients but requires a -webkit prefix for most versions, so just change it to:
background: -webkit-linear-gradient(#293d4f, #0d4f6e) ;
The same WebView component is used for Trigger apps that is used for the stock android browser. On Android 4.4, the WebView has been updated so you don't need the -webkit prefix.
See http://caniuse.com/css-gradients for more details (generally a great site for checking this sort of thing)