diff --git a/arch/um/drivers/net_kern.c b/arch/um/drivers/net_kern.c
index 3c6c44c..ca71577 100644
--- a/arch/um/drivers/net_kern.c
+++ b/arch/um/drivers/net_kern.c
@@ -368,7 +368,6 @@
 		.name  = DRIVER_NAME,
 	},
 };
-static int driver_registered;
 
 static void net_device_release(struct device *dev)
 {
@@ -383,6 +382,12 @@
 	free_netdev(netdev);
 }
 
+/*
+ * Ensures that platform_driver_register is called only once by
+ * eth_configure.  Will be set in an initcall.
+ */
+static int driver_registered;
+
 static void eth_configure(int n, void *init, char *mac,
 			  struct transport *transport)
 {
diff --git a/arch/um/include/mem_user.h b/arch/um/include/mem_user.h
index 4e6707b..46384ac 100644
--- a/arch/um/include/mem_user.h
+++ b/arch/um/include/mem_user.h
@@ -56,7 +56,6 @@
 			  unsigned long len, unsigned long long highmem);
 extern void add_iomem(char *name, int fd, unsigned long size);
 extern unsigned long phys_offset(unsigned long phys);
-extern void unmap_physmem(void);
 extern void map_memory(unsigned long virt, unsigned long phys,
 		       unsigned long len, int r, int w, int x);
 
diff --git a/arch/um/kernel/mem.c b/arch/um/kernel/mem.c
index 663011c..d948bab 100644
--- a/arch/um/kernel/mem.c
+++ b/arch/um/kernel/mem.c
@@ -22,17 +22,20 @@
 unsigned long *empty_zero_page = NULL;
 /* allocated in paging_init and unchanged thereafter */
 unsigned long *empty_bad_page = NULL;
+
+/*
+ * Initialized during boot, and readonly for initializing page tables
+ * afterwards
+ */
 pgd_t swapper_pg_dir[PTRS_PER_PGD];
+
+/* Initialized at boot time, and readonly after that */
 unsigned long long highmem;
 int kmalloc_ok = 0;
 
+/* Used during early boot */
 static unsigned long brk_end;
 
-void unmap_physmem(void)
-{
-	os_unmap_memory((void *) brk_end, uml_reserved - brk_end);
-}
-
 static void map_cb(void *unused)
 {
 	map_memory(brk_end, __pa(brk_end), uml_reserved - brk_end, 1, 1, 0);
diff --git a/arch/um/kernel/physmem.c b/arch/um/kernel/physmem.c
index 9c92900..9757085 100644
--- a/arch/um/kernel/physmem.c
+++ b/arch/um/kernel/physmem.c
@@ -164,10 +164,10 @@
  * setup_iomem, both of which run during early boot.  Afterwards, it's
  * unchanged.
  */
-struct iomem_region *iomem_regions = NULL;
+struct iomem_region *iomem_regions;
 
-/* Initialized in parse_iomem */
-int iomem_size = 0;
+/* Initialized in parse_iomem and unchanged thereafter */
+int iomem_size;
 
 unsigned long find_iomem(char *driver, unsigned long *len_out)
 {