Are there known issues with running a Java application compiled in a 32-bit machine and run on a 64-bit machine?
The byte code generated by a 32-bit JDK is identical to the byte code generated by a 64-bit JDK. If you have a problem which only occurs on a 64-bit JVM, is because there is a bug in the JVM and using a 64-bit JDK wouldn't make any difference.