Request cookie is incorrectly parsed when a backslash-escaped double quote exists in the quoted cookie value

<%
Cookie[] cookies = request.getCookies();
for (Cookie cookie: cookies) {
    out.println("cookie key = " + cookie.getName());
    out.println("cookie val = " + cookie.getValue());
}
%>

$ curl -v http://localhost:8080/test/example.jsp -H 'Cookie: mykey="my\"value"'
...
> GET /test/example.jsp HTTP/1.1
> User-Agent: curl/7.29.0
> Host: localhost:8080
> Accept: */*
> Cookie: mykey="my\"value"
> 
< HTTP/1.1 200 OK
< Connection: keep-alive
< X-Powered-By: Undertow/1
< X-Powered-By: JSP/2.3
< Server: JBoss-EAP/7
< ....
< 
cookie key = mykey
cookie val = my\

$ curl -v http://localhost:8080/test/example.jsp -H 'Cookie: mykey="my\"value"'
...
> GET /test/example.jsp HTTP/1.1
> User-Agent: curl/7.29.0
> Host: localhost:8080
> Accept: */*
> Cookie: mykey="my\"value"
> 
< HTTP/1.1 200 OK
< Server: Apache-Coyote/1.1
< X-Powered-By: JSP/2.2
< ...
< 
cookie key = mykey
cookie val = my"value