diff --git a/compiler/frontend/src/org/jetbrains/kotlin/cfg/ControlFlowInformationProvider.java b/compiler/frontend/src/org/jetbrains/kotlin/cfg/ControlFlowInformationProvider.java
index b3dce48caf5..66e5e60ab04 100644
--- a/compiler/frontend/src/org/jetbrains/kotlin/cfg/ControlFlowInformationProvider.java
+++ b/compiler/frontend/src/org/jetbrains/kotlin/cfg/ControlFlowInformationProvider.java
@@ -391,20 +391,48 @@ public class ControlFlowInformationProvider {
         }
     }
 
+    // Should return KtDeclarationWithBody or KtClassOrObject
+    @Nullable
+    private static KtDeclaration getElementParentDeclaration(@NotNull KtElement element) {
+        //noinspection unchecked
+        return PsiTreeUtil.getParentOfType(element, KtDeclarationWithBody.class, KtClassOrObject.class);
+    }
+
+    @Nullable
+    private DeclarationDescriptor getDeclarationDescriptor(@Nullable KtDeclaration declaration) {
+        DeclarationDescriptor descriptor = trace.get(BindingContext.DECLARATION_TO_DESCRIPTOR, declaration);
+        if (descriptor instanceof ClassDescriptor) {
+            // For a class primary constructor, we cannot directly get ConstructorDescriptor by KtClassInitializer,
+            // so we have to do additional conversion: KtClassInitializer -> KtClassOrObject -> ClassDescriptor -> ConstructorDescriptor
+            ClassDescriptor classDescriptor = (ClassDescriptor) descriptor;
+            return classDescriptor.getUnsubstitutedPrimaryConstructor();
+        }
+        else {
+            return descriptor;
+        }
+    }
+
     private boolean isCapturedWrite(
             @NotNull VariableDescriptor variableDescriptor,
             @NotNull WriteValueInstruction writeValueInstruction
     ) {
         DeclarationDescriptor containingDeclarationDescriptor = variableDescriptor.getContainingDeclaration();
-        if (containingDeclarationDescriptor instanceof ClassDescriptor) return false;
-        KtElement ownerElement = writeValueInstruction.getOwner().getCorrespondingElement();
-        DeclarationDescriptor writeOwnerDescriptor = trace.get(BindingContext.DECLARATION_TO_DESCRIPTOR, ownerElement);
-        if (containingDeclarationDescriptor.equals(writeOwnerDescriptor)) return false;
-        if (writeOwnerDescriptor instanceof ClassDescriptor) {
-            ClassDescriptor writeOwnerClass = (ClassDescriptor) writeOwnerDescriptor;
-            if (containingDeclarationDescriptor.equals(writeOwnerClass.getUnsubstitutedPrimaryConstructor())) return false;
+        // Do not consider member / top-level properties
+        if (containingDeclarationDescriptor instanceof ClassOrPackageFragmentDescriptor) return false;
+        KtDeclaration parentDeclaration = getElementParentDeclaration(writeValueInstruction.getElement());
+        while (true) {
+            DeclarationDescriptor parentDescriptor = getDeclarationDescriptor(parentDeclaration);
+            if (containingDeclarationDescriptor.equals(parentDescriptor)) {
+                return false;
+            }
+            else if (parentDeclaration instanceof KtObjectDeclaration) {
+                // anonymous object counts here the same as its owner
+                parentDeclaration = getElementParentDeclaration(parentDeclaration);
+            }
+            else {
+                return true;
+            }
         }
-        return true;
     }
 
     private boolean checkValReassignment(
diff --git a/compiler/testData/diagnostics/tests/controlFlowAnalysis/initializationInLocalClass.kt b/compiler/testData/diagnostics/tests/controlFlowAnalysis/initializationInLocalClass.kt
index a6088c4dc74..4f93a22cb82 100644
--- a/compiler/testData/diagnostics/tests/controlFlowAnalysis/initializationInLocalClass.kt
+++ b/compiler/testData/diagnostics/tests/controlFlowAnalysis/initializationInLocalClass.kt
@@ -1,3 +1,5 @@
+// !DIAGNOSTICS: -ASSIGNED_BUT_NEVER_ACCESSED_VARIABLE
+
 fun foo() {
     var x: String
     class A {
@@ -19,3 +21,70 @@ fun bar() {
     // Ok
     x.length
 }
+
+fun gav() {
+    val x: String
+    class B {
+        init {
+            // Error! See KT-10445
+            <!CAPTURED_VAL_INITIALIZATION!>x<!> = ""
+        }
+    }
+    // Error! See KT-10042
+    <!UNINITIALIZED_VARIABLE!>x<!>.length
+    val y: String
+    class C(val s: String) {
+        constructor(): this("") {
+            // Error!
+            <!VAL_REASSIGNMENT!>y<!> = s
+        }
+    }
+    <!UNINITIALIZED_VARIABLE!>y<!>.length
+}
+
+open class Gau(val s: String)
+
+fun gau() {
+    val x: String
+    object: Any() {
+        init {
+            // Ok
+            x = ""
+        }
+    }
+    // Ok
+    x.length
+    val y: String
+    fun local() {
+        object: Any() {
+            init {
+                // Error!
+                <!CAPTURED_VAL_INITIALIZATION!>y<!> = ""
+            }
+        }
+    }
+    val z: String
+    object: Gau(if (true) {
+        z = ""
+        z
+    }
+    else "") {}
+}
+
+class My {
+    init {
+        val x: String
+        class Your {
+            init {
+                // Error! See KT-10445
+                <!CAPTURED_VAL_INITIALIZATION!>x<!> = ""
+            }
+        }
+    }
+}
+
+<!MUST_BE_INITIALIZED!>val top: Int<!>
+
+fun init() {
+    <!VAL_REASSIGNMENT!>top<!> = 1
+}
diff --git a/compiler/testData/diagnostics/tests/controlFlowAnalysis/initializationInLocalClass.txt b/compiler/testData/diagnostics/tests/controlFlowAnalysis/initializationInLocalClass.txt
index a34eb4a98fa..95ca234f911 100644
--- a/compiler/testData/diagnostics/tests/controlFlowAnalysis/initializationInLocalClass.txt
+++ b/compiler/testData/diagnostics/tests/controlFlowAnalysis/initializationInLocalClass.txt
@@ -1,4 +1,23 @@
 package
 
+public val top: kotlin.Int
 public fun bar(): kotlin.Unit
 public fun foo(): kotlin.Unit
+public fun gau(): kotlin.Unit
+public fun gav(): kotlin.Unit
+public fun init(): kotlin.Unit
+
+public open class Gau {
+    public constructor Gau(/*0*/ s: kotlin.String)
+    public final val s: kotlin.String
+    public open override /*1*/ /*fake_override*/ fun equals(/*0*/ other: kotlin.Any?): kotlin.Boolean
+    public open override /*1*/ /*fake_override*/ fun hashCode(): kotlin.Int
+    public open override /*1*/ /*fake_override*/ fun toString(): kotlin.String
+}
+
+public final class My {
+    public constructor My()
+    public open override /*1*/ /*fake_override*/ fun equals(/*0*/ other: kotlin.Any?): kotlin.Boolean
+    public open override /*1*/ /*fake_override*/ fun hashCode(): kotlin.Int
+    public open override /*1*/ /*fake_override*/ fun toString(): kotlin.String
+}