I've had no luck as yet. The sketch launches on the phone and runs without any problems until I press the button to send an email (I'm using a PButton apwidget as a trigger). This is the error that I get in Processing when the button is pressed:

2. java.lang.reflect.InvocationTargetException
3. at processing.android.test.questionnaire_20110404.questionnaire_20110404.onClickWidget(questionnaire_20110404.java:168)
4. at java.lang.reflect.Method.invokeNative(Native Method)
5. at java.lang.reflect.Method.invoke(Method.java:521)
6. at apwidgets.PWidget.onClick(PWidget.java:69)
7. at android.view.View.performClick(View.java:2418)
8. at android.view.View.onTouchEvent(View.java:4233)
9. at android.widget.TextView.onTouchEvent(TextView.java:6645)
10. at android.view.View.dispatchTouchEvent(View.java:3763)
11. at android.view.ViewGroup.dispatchTouchEvent(ViewGroup.java:968)
12. at android.view.ViewGroup.dispatchTouchEvent(ViewGroup.java:968)
13. at android.view.ViewGroup.dispatchTouchEvent(ViewGroup.java:968)
14. at android.view.ViewGroup.dispatchTouchEvent(ViewGroup.java:968)
15. at com.android.internal.policy.impl.PhoneWindow$DecorView.superDispatchTouchEvent(PhoneWindow.java:1659)
16. at com.android.internal.policy.impl.PhoneWindow.superDispatchTouchEvent(PhoneWindow.java:1107)
17. at android.app.Activity.dispatchTouchEvent(Activity.java:2064)
18. at com.android.internal.policy.impl.PhoneWindow$DecorView.dispatchTouchEvent(PhoneWindow.java:1643)
19. at android.view.ViewRoot.handleMessage(ViewRoot.java:1691)
20. at android.os.Handler.dispatchMessage(Handler.java:99)
21. at android.os.Looper.loop(Looper.java:123)
22. at android.app.ActivityThread.main(ActivityThread.java:4370)
23. at java.lang.reflect.Method.invokeNative(Native Method)
24. at java.lang.reflect.Method.invoke(Method.java:521)
25. at com.android.internal.os.ZygoteInit$MethodAndArgsCaller.run(ZygoteInit.java:868)
26. at com.android.internal.os.ZygoteInit.main(ZygoteInit.java:626)
27. at dalvik.system.NativeStart.main(Native Method)
28. Caused by: java.lang.NoClassDefFoundError: javax.activation.DataHandler
29. at javax.mail.internet.MimeMessage.setContent(MimeMessage.java:1383)
30. at javax.mail.internet.MimeBodyPart.setText(MimeBodyPart.java:892)
31. at javax.mail.internet.MimeMessage.setText(MimeMessage.java:1416)
32. at javax.mail.internet.MimeMessage.setText(MimeMessage.java:1404)
33. at processing.android.test.questionnaire_20110404.questionnaire_20110404.sendMail(questionnaire_20110404.java:306)
34. ... 25 more

I'm aware there are plenty of libraries and other things that work fine in Processing, but aren't yet functional in Android Processing, but I have no idea if that falls into this category - I'm most definitely a Processing/Android/Java beginner.