ZHENG Yong-ai, LIU Zu-han. Motion of Level Sets by a Generalized Mean Curvature[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1169-1176.
	
		
			Citation: 
			 
			 
													ZHENG Yong-ai, LIU Zu-han. Motion of Level Sets by a Generalized Mean Curvature[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1169-1176. 								 
				
			 
		 
	
 
	
		ZHENG Yong-ai, LIU Zu-han. Motion of Level Sets by a Generalized Mean Curvature[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1169-1176.
	
		
			Citation: 
			 
			 
													ZHENG Yong-ai, LIU Zu-han. Motion of Level Sets by a Generalized Mean Curvature[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1169-1176. 								 
				 
		 
	
  
			
				
					
						
Motion of Level Sets by a Generalized Mean Curvature 
					
					
						 
					
					
						
						 1.
	       									 
									
										Department of Mathematics, Yangzhou University, Yangzhou 225006, P R China;
 
							 2.
	       									 
									
										Department of Mathematics, Shanghai University, Shanghai 200436, P R China
 
							 
					
                        
		    		
						
							
							
							Received Date:  2001-11-01 
									 
								Rev Recd Date: 
										2002-06-09 
									 
								Publish Date: 
											2002-11-15 
									
	                     
	                  
                 
             
            
            	
                
                 
				
                    Abstract 
                        
                            Short time existence and uniqueness for the classical motion are studied by the function of the principal curvatures of a smooth,surface and the Evans and Spruck's results are generalized.
                    
                     
                
                 
                
               	
	                
	                     
	                 
                
                
				
	                    References 
	                    
	
		
				[1] 
				
					Brakke K. The Motion of a Surface by Its Curvature[M]. Mathematical Notes 20,Princeton,NJ:Princeton University Press,1978.
					
					 
			 
		
				[2] 
				
					Evans L C,Spruck J. Motion of levelsets by mean curvature[J].Transactions of the Amer,Math,soc,1992,33(1):321-332.
					
					 
			 
		
				[3] 
				
					Ladyzhenskaja O,A,Solonnikov V A,Uraltseva N N. Linear and Quasilinear Equations of Paraboic Type[M].Providence R I:Amer Math Soc 1968.
					
					 
			 
		
  
                
                 
				
				
                     
                
				
				
				
						 
				
                 
		
		
		
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