Please let me know if you have a smarter way 🙇

DateParser.java

import java.text.ParseException;
import java.text.SimpleDateFormat;
import java.util.Date;

public class DateParser {
    public static void main(String[] args) {
        System.out.println(parse("2018-06-01 12:00:00.111 JST"));
        System.out.println(parse("2018-06-01 12:00:00 JST"));
    }

    private static Date parse(String date) {
        SimpleDateFormat formatter1 = new SimpleDateFormat("yyyy-MM-dd HH:mm:ss.SSS z");
        SimpleDateFormat formatter2 = new SimpleDateFormat("yyyy-MM-dd HH:mm:ss z");
        try {
            return formatter1.parse(date);
        } catch (ParseException e) {
            try {
                return formatter2.parse(date);
            } catch (ParseException e1) {
                throw new RuntimeException(e);
            }
        }
    }

}