United States Cyber Command (USCYBERCOM) handles cyberspace concerns for the Department of Defense, and seem the best source of any sort of definition for 'cyberwarfare' or 'cyberwar'. Overall, they don't appear to reference 'cyberwarfare' as it's own domain, rather they refer to cyber operations as another integral part of both domestic defense and conflict abroad.
According to USCYBERCOM's Mission and Vision page:
The Command has three main focus areas: Defending the DoDIN, providing support to combatant commanders for execution of their missions around the world, and strengthening our nation's ability to withstand and respond to cyber attack.
The Command unifies the direction of cyberspace operations, strengthens DoD cyberspace capabilities, and integrates and bolsters DoD's cyber expertise. USCYBERCOM improves DoD's capabilities to operate resilient, reliable information and communication networks, counter cyberspace threats, and assure access to cyberspace. USCYBERCOM is designing the cyber force structure, training requirements and certification standards that will enable the Services to build the cyber force required to execute our assigned missions. The command also works closely with interagency and international partners in executing these critical missions.