Department or Unit:Mathematicsremove ×Publisher:University of Notre Dameremove ×Subject:initial value problemremove ×Subject:approximate solutionsremove ×Subject:well-posednessremove ×Subject:H older continuityremove ×Subject:Sobolev spacesremove ×Subject:multiplier estimate.remove ×Type of Work:Doctoral Dissertation OR Master's Thesis OR Articleremove ×